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Finding the Fourth Proportional to 457,543.12, 686,406.36 and 158,034.64

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Solution

The fourth proportional to 457,543.12, 686,406.36 and 158,034.64 is: 237,083.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,543.12 : 686,406.36 = 158,034.64 : x
  2. Step 2: Convert to fraction form
    457,543.12/686,406.36 = 158,034.64/x
  3. Step 3: Cross multiply
    457,543.12x = 686,406.36 × 158,034.64
  4. Step 4: Simplify right side
    457,543.12x = 108,475,981,996.31
  5. Step 5: Solve for x
    x = 108,475,981,996.31/457,543.12
  6. Step 6: Final answer
    x = 237,083.63

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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.