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Finding the Fourth Proportional to 521,109.32, 781,720.62 and 166,039.88

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Solution

The fourth proportional to 521,109.32, 781,720.62 and 166,039.88 is: 249,077.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,109.32 : 781,720.62 = 166,039.88 : x
  2. Step 2: Convert to fraction form
    521,109.32/781,720.62 = 166,039.88/x
  3. Step 3: Cross multiply
    521,109.32x = 781,720.62 × 166,039.88
  4. Step 4: Simplify right side
    521,109.32x = 129,796,797,938.33
  5. Step 5: Solve for x
    x = 129,796,797,938.33/521,109.32
  6. Step 6: Final answer
    x = 249,077.87

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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.