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Finding the Fourth Proportional to 521,665.38, 782,432.73 and 166,649.94

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Solution

The fourth proportional to 521,665.38, 782,432.73 and 166,649.94 is: 249,954.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,665.38 : 782,432.73 = 166,649.94 : x
  2. Step 2: Convert to fraction form
    521,665.38/782,432.73 = 166,649.94/x
  3. Step 3: Cross multiply
    521,665.38x = 782,432.73 × 166,649.94
  4. Step 4: Simplify right side
    521,665.38x = 130,392,367,508.54
  5. Step 5: Solve for x
    x = 130,392,367,508.54/521,665.38
  6. Step 6: Final answer
    x = 249,954.04

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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.