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Finding the Fourth Proportional to 285,939.60, 428,909.40 and 157,508.03

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Solution

The fourth proportional to 285,939.60, 428,909.40 and 157,508.03 is: 236,262.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,939.60 : 428,909.40 = 157,508.03 : x
  2. Step 2: Convert to fraction form
    285,939.60/428,909.40 = 157,508.03/x
  3. Step 3: Cross multiply
    285,939.60x = 428,909.40 × 157,508.03
  4. Step 4: Simplify right side
    285,939.60x = 67,556,672,497.94
  5. Step 5: Solve for x
    x = 67,556,672,497.94/285,939.60
  6. Step 6: Final answer
    x = 236,262.04

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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.