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Finding the Fourth Proportional to 539,054.10, 807,609.15 and 257,951.70

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Solution

The fourth proportional to 539,054.10, 807,609.15 and 257,951.70 is: 386,462.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,054.10 : 807,609.15 = 257,951.70 : x
  2. Step 2: Convert to fraction form
    539,054.10/807,609.15 = 257,951.70/x
  3. Step 3: Cross multiply
    539,054.10x = 807,609.15 × 257,951.70
  4. Step 4: Simplify right side
    539,054.10x = 208,324,153,178.06
  5. Step 5: Solve for x
    x = 208,324,153,178.06/539,054.10
  6. Step 6: Final answer
    x = 386,462.42

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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.