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Finding the Fourth Proportional to 506,149.08, 698,458.32 and 279,780

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Solution

The fourth proportional to 506,149.08, 698,458.32 and 279,780 is: 386,081.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,149.08 : 698,458.32 = 279,780 : x
  2. Step 2: Convert to fraction form
    506,149.08/698,458.32 = 279,780/x
  3. Step 3: Cross multiply
    506,149.08x = 698,458.32 × 279,780
  4. Step 4: Simplify right side
    506,149.08x = 195,414,668,769.60
  5. Step 5: Solve for x
    x = 195,414,668,769.60/506,149.08
  6. Step 6: Final answer
    x = 386,081.25

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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.