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Finding the Fourth Proportional to 684,872.80, 945,504.52 and 413,009.56

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Solution

The fourth proportional to 684,872.80, 945,504.52 and 413,009.56 is: 570,182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,872.80 : 945,504.52 = 413,009.56 : x
  2. Step 2: Convert to fraction form
    684,872.80/945,504.52 = 413,009.56/x
  3. Step 3: Cross multiply
    684,872.80x = 945,504.52 × 413,009.56
  4. Step 4: Simplify right side
    684,872.80x = 390,502,405,783.21
  5. Step 5: Solve for x
    x = 390,502,405,783.21/684,872.80
  6. Step 6: Final answer
    x = 570,182.38

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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.