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Finding the Fourth Proportional to 521,034.12, 781,564.41 and 141,957.90

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Solution

The fourth proportional to 521,034.12, 781,564.41 and 141,957.90 is: 212,940.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,034.12 : 781,564.41 = 141,957.90 : x
  2. Step 2: Convert to fraction form
    521,034.12/781,564.41 = 141,957.90/x
  3. Step 3: Cross multiply
    521,034.12x = 781,564.41 × 141,957.90
  4. Step 4: Simplify right side
    521,034.12x = 110,949,242,358.34
  5. Step 5: Solve for x
    x = 110,949,242,358.34/521,034.12
  6. Step 6: Final answer
    x = 212,940.45

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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.