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Finding the Fourth Proportional to 406,443.60, 609,665.40 and 125,989.20

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Solution

The fourth proportional to 406,443.60, 609,665.40 and 125,989.20 is: 188,983.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,443.60 : 609,665.40 = 125,989.20 : x
  2. Step 2: Convert to fraction form
    406,443.60/609,665.40 = 125,989.20/x
  3. Step 3: Cross multiply
    406,443.60x = 609,665.40 × 125,989.20
  4. Step 4: Simplify right side
    406,443.60x = 76,811,256,013.68
  5. Step 5: Solve for x
    x = 76,811,256,013.68/406,443.60
  6. Step 6: Final answer
    x = 188,983.80

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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.