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Finding the Fourth Proportional to 506,345.28, 698,754.60 and 285,565.04

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Solution

The fourth proportional to 506,345.28, 698,754.60 and 285,565.04 is: 394,078.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,345.28 : 698,754.60 = 285,565.04 : x
  2. Step 2: Convert to fraction form
    506,345.28/698,754.60 = 285,565.04/x
  3. Step 3: Cross multiply
    506,345.28x = 698,754.60 × 285,565.04
  4. Step 4: Simplify right side
    506,345.28x = 199,539,885,299.18
  5. Step 5: Solve for x
    x = 199,539,885,299.18/506,345.28
  6. Step 6: Final answer
    x = 394,078.69

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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.