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Finding the Fourth Proportional to 457,902.06, 686,957.76 and 158,382.38

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Solution

The fourth proportional to 457,902.06, 686,957.76 and 158,382.38 is: 237,609.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,902.06 : 686,957.76 = 158,382.38 : x
  2. Step 2: Convert to fraction form
    457,902.06/686,957.76 = 158,382.38/x
  3. Step 3: Cross multiply
    457,902.06x = 686,957.76 × 158,382.38
  4. Step 4: Simplify right side
    457,902.06x = 108,802,004,988.27
  5. Step 5: Solve for x
    x = 108,802,004,988.27/457,902.06
  6. Step 6: Final answer
    x = 237,609.77

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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.