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Finding the Fourth Proportional to 285,494.40, 428,207.40 and 75,148.92

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Solution

The fourth proportional to 285,494.40, 428,207.40 and 75,148.92 is: 112,714.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,494.40 : 428,207.40 = 75,148.92 : x
  2. Step 2: Convert to fraction form
    285,494.40/428,207.40 = 75,148.92/x
  3. Step 3: Cross multiply
    285,494.40x = 428,207.40 × 75,148.92
  4. Step 4: Simplify right side
    285,494.40x = 32,179,323,646.01
  5. Step 5: Solve for x
    x = 32,179,323,646.01/285,494.40
  6. Step 6: Final answer
    x = 112,714.38

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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.