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Finding the Fourth Proportional to 684,873.54, 945,505.55 and 413,010.30

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Solution

The fourth proportional to 684,873.54, 945,505.55 and 413,010.30 is: 570,183.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,873.54 : 945,505.55 = 413,010.30 : x
  2. Step 2: Convert to fraction form
    684,873.54/945,505.55 = 413,010.30/x
  3. Step 3: Cross multiply
    684,873.54x = 945,505.55 × 413,010.30
  4. Step 4: Simplify right side
    684,873.54x = 390,503,528,792.11
  5. Step 5: Solve for x
    x = 390,503,528,792.11/684,873.54
  6. Step 6: Final answer
    x = 570,183.41

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.