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Finding the Fourth Proportional to 521,109.48, 781,651.26 and 147,127.08

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Solution

The fourth proportional to 521,109.48, 781,651.26 and 147,127.08 is: 220,686.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,109.48 : 781,651.26 = 147,127.08 : x
  2. Step 2: Convert to fraction form
    521,109.48/781,651.26 = 147,127.08/x
  3. Step 3: Cross multiply
    521,109.48x = 781,651.26 × 147,127.08
  4. Step 4: Simplify right side
    521,109.48x = 115,002,067,462.12
  5. Step 5: Solve for x
    x = 115,002,067,462.12/521,109.48
  6. Step 6: Final answer
    x = 220,686.96

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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.