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Finding the Fourth Proportional to 506,439.64, 698,874.78 and 280,080.28

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Solution

The fourth proportional to 506,439.64, 698,874.78 and 280,080.28 is: 386,504.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,439.64 : 698,874.78 = 280,080.28 : x
  2. Step 2: Convert to fraction form
    506,439.64/698,874.78 = 280,080.28/x
  3. Step 3: Cross multiply
    506,439.64x = 698,874.78 × 280,080.28
  4. Step 4: Simplify right side
    506,439.64x = 195,741,044,067.34
  5. Step 5: Solve for x
    x = 195,741,044,067.34/506,439.64
  6. Step 6: Final answer
    x = 386,504.19

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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.