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Finding the Fourth Proportional to 457,728.57, 686,623.10 and 158,238.09

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Solution

The fourth proportional to 457,728.57, 686,623.10 and 158,238.09 is: 237,367.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,728.57 : 686,623.10 = 158,238.09 : x
  2. Step 2: Convert to fraction form
    457,728.57/686,623.10 = 158,238.09/x
  3. Step 3: Cross multiply
    457,728.57x = 686,623.10 × 158,238.09
  4. Step 4: Simplify right side
    457,728.57x = 108,649,927,102.69
  5. Step 5: Solve for x
    x = 108,649,927,102.69/457,728.57
  6. Step 6: Final answer
    x = 237,367.59

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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.