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Finding the Fourth Proportional to 406,076.20, 609,114.30 and 125,593.45

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Solution

The fourth proportional to 406,076.20, 609,114.30 and 125,593.45 is: 188,390.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,076.20 : 609,114.30 = 125,593.45 : x
  2. Step 2: Convert to fraction form
    406,076.20/609,114.30 = 125,593.45/x
  3. Step 3: Cross multiply
    406,076.20x = 609,114.30 × 125,593.45
  4. Step 4: Simplify right side
    406,076.20x = 76,500,766,381.34
  5. Step 5: Solve for x
    x = 76,500,766,381.34/406,076.20
  6. Step 6: Final answer
    x = 188,390.18

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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.