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Finding the Fourth Proportional to 521,937.20, 782,905.80 and 147,963.44

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Solution

The fourth proportional to 521,937.20, 782,905.80 and 147,963.44 is: 221,945.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,937.20 : 782,905.80 = 147,963.44 : x
  2. Step 2: Convert to fraction form
    521,937.20/782,905.80 = 147,963.44/x
  3. Step 3: Cross multiply
    521,937.20x = 782,905.80 × 147,963.44
  4. Step 4: Simplify right side
    521,937.20x = 115,841,435,363.95
  5. Step 5: Solve for x
    x = 115,841,435,363.95/521,937.20
  6. Step 6: Final answer
    x = 221,945.16

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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.