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Finding the Fourth Proportional to 406,135.89, 609,205.05 and 139,892.94

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Solution

The fourth proportional to 406,135.89, 609,205.05 and 139,892.94 is: 209,839.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,135.89 : 609,205.05 = 139,892.94 : x
  2. Step 2: Convert to fraction form
    406,135.89/609,205.05 = 139,892.94/x
  3. Step 3: Cross multiply
    406,135.89x = 609,205.05 × 139,892.94
  4. Step 4: Simplify right side
    406,135.89x = 85,223,485,507.35
  5. Step 5: Solve for x
    x = 85,223,485,507.35/406,135.89
  6. Step 6: Final answer
    x = 209,839.83

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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.