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Finding the Fourth Proportional to 520,711.80, 781,511.48 and 205,390.14

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Solution

The fourth proportional to 520,711.80, 781,511.48 and 205,390.14 is: 308,260.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,711.80 : 781,511.48 = 205,390.14 : x
  2. Step 2: Convert to fraction form
    520,711.80/781,511.48 = 205,390.14/x
  3. Step 3: Cross multiply
    520,711.80x = 781,511.48 × 205,390.14
  4. Step 4: Simplify right side
    520,711.80x = 160,514,752,288.81
  5. Step 5: Solve for x
    x = 160,514,752,288.81/520,711.80
  6. Step 6: Final answer
    x = 308,260.26

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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.