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Finding the Fourth Proportional to 415,892.49, 623,773.67 and 135,407.85

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Solution

The fourth proportional to 415,892.49, 623,773.67 and 135,407.85 is: 203,090.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,892.49 : 623,773.67 = 135,407.85 : x
  2. Step 2: Convert to fraction form
    415,892.49/623,773.67 = 135,407.85/x
  3. Step 3: Cross multiply
    415,892.49x = 623,773.67 × 135,407.85
  4. Step 4: Simplify right side
    415,892.49x = 84,463,850,864.27
  5. Step 5: Solve for x
    x = 84,463,850,864.27/415,892.49
  6. Step 6: Final answer
    x = 203,090.59

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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.