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Finding the Fourth Proportional to 456,408.30, 684,612.45 and 123,984.30

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Solution

The fourth proportional to 456,408.30, 684,612.45 and 123,984.30 is: 185,976.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,408.30 : 684,612.45 = 123,984.30 : x
  2. Step 2: Convert to fraction form
    456,408.30/684,612.45 = 123,984.30/x
  3. Step 3: Cross multiply
    456,408.30x = 684,612.45 × 123,984.30
  4. Step 4: Simplify right side
    456,408.30x = 84,881,195,384.54
  5. Step 5: Solve for x
    x = 84,881,195,384.54/456,408.30
  6. Step 6: Final answer
    x = 185,976.45

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.