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Finding the Fourth Proportional to 415,892.76, 623,774.04 and 135,408.12

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Solution

The fourth proportional to 415,892.76, 623,774.04 and 135,408.12 is: 203,090.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,892.76 : 623,774.04 = 135,408.12 : x
  2. Step 2: Convert to fraction form
    415,892.76/623,774.04 = 135,408.12/x
  3. Step 3: Cross multiply
    415,892.76x = 623,774.04 × 135,408.12
  4. Step 4: Simplify right side
    415,892.76x = 84,464,070,061.20
  5. Step 5: Solve for x
    x = 84,464,070,061.20/415,892.76
  6. Step 6: Final answer
    x = 203,090.98

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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.