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Finding the Fourth Proportional to 506,057.28, 698,403.51 and 279,746.52

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Solution

The fourth proportional to 506,057.28, 698,403.51 and 279,746.52 is: 386,074.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,057.28 : 698,403.51 = 279,746.52 : x
  2. Step 2: Convert to fraction form
    506,057.28/698,403.51 = 279,746.52/x
  3. Step 3: Cross multiply
    506,057.28x = 698,403.51 × 279,746.52
  4. Step 4: Simplify right side
    506,057.28x = 195,375,951,478.29
  5. Step 5: Solve for x
    x = 195,375,951,478.29/506,057.28
  6. Step 6: Final answer
    x = 386,074.78

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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.