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Finding the Fourth Proportional to 488,408.30, 731,640.45 and 429,958.70

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Solution

The fourth proportional to 488,408.30, 731,640.45 and 429,958.70 is: 644,082.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,408.30 : 731,640.45 = 429,958.70 : x
  2. Step 2: Convert to fraction form
    488,408.30/731,640.45 = 429,958.70/x
  3. Step 3: Cross multiply
    488,408.30x = 731,640.45 × 429,958.70
  4. Step 4: Simplify right side
    488,408.30x = 314,575,176,749.42
  5. Step 5: Solve for x
    x = 314,575,176,749.42/488,408.30
  6. Step 6: Final answer
    x = 644,082.37

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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.