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Finding the Fourth Proportional to 412,965.76, 619,414.56 and 292,525.20

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Solution

The fourth proportional to 412,965.76, 619,414.56 and 292,525.20 is: 438,763.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,965.76 : 619,414.56 = 292,525.20 : x
  2. Step 2: Convert to fraction form
    412,965.76/619,414.56 = 292,525.20/x
  3. Step 3: Cross multiply
    412,965.76x = 619,414.56 × 292,525.20
  4. Step 4: Simplify right side
    412,965.76x = 181,194,368,046.91
  5. Step 5: Solve for x
    x = 181,194,368,046.91/412,965.76
  6. Step 6: Final answer
    x = 438,763.66

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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.