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Finding the Fourth Proportional to 361,686.97, 542,651.96 and 253,728.83

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Solution

The fourth proportional to 361,686.97, 542,651.96 and 253,728.83 is: 380,678.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,686.97 : 542,651.96 = 253,728.83 : x
  2. Step 2: Convert to fraction form
    361,686.97/542,651.96 = 253,728.83/x
  3. Step 3: Cross multiply
    361,686.97x = 542,651.96 × 253,728.83
  4. Step 4: Simplify right side
    361,686.97x = 137,686,445,945.53
  5. Step 5: Solve for x
    x = 137,686,445,945.53/361,686.97
  6. Step 6: Final answer
    x = 380,678.48

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1.5x scale

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.