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Finding the Fourth Proportional to 423,679.50, 635,462.64 and 157,403.70

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Solution

The fourth proportional to 423,679.50, 635,462.64 and 157,403.70 is: 236,084.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,679.50 : 635,462.64 = 157,403.70 : x
  2. Step 2: Convert to fraction form
    423,679.50/635,462.64 = 157,403.70/x
  3. Step 3: Cross multiply
    423,679.50x = 635,462.64 × 157,403.70
  4. Step 4: Simplify right side
    423,679.50x = 100,024,170,747.77
  5. Step 5: Solve for x
    x = 100,024,170,747.77/423,679.50
  6. Step 6: Final answer
    x = 236,084.52

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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.