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Finding the Fourth Proportional to 423,838.29, 635,658.89 and 157,724.13

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Solution

The fourth proportional to 423,838.29, 635,658.89 and 157,724.13 is: 236,549.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,838.29 : 635,658.89 = 157,724.13 : x
  2. Step 2: Convert to fraction form
    423,838.29/635,658.89 = 157,724.13/x
  3. Step 3: Cross multiply
    423,838.29x = 635,658.89 × 157,724.13
  4. Step 4: Simplify right side
    423,838.29x = 100,258,744,613.40
  5. Step 5: Solve for x
    x = 100,258,744,613.40/423,838.29
  6. Step 6: Final answer
    x = 236,549.52

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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.