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Finding the Fourth Proportional to 521,503.12, 782,248.08 and 166,512.64

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Solution

The fourth proportional to 521,503.12, 782,248.08 and 166,512.64 is: 249,766.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,503.12 : 782,248.08 = 166,512.64 : x
  2. Step 2: Convert to fraction form
    521,503.12/782,248.08 = 166,512.64/x
  3. Step 3: Cross multiply
    521,503.12x = 782,248.08 × 166,512.64
  4. Step 4: Simplify right side
    521,503.12x = 130,254,192,935.73
  5. Step 5: Solve for x
    x = 130,254,192,935.73/521,503.12
  6. Step 6: Final answer
    x = 249,766.85

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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.