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Finding the Fourth Proportional to 488,741.78, 674,452.58 and 284,780

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Solution

The fourth proportional to 488,741.78, 674,452.58 and 284,780 is: 392,989.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,741.78 : 674,452.58 = 284,780 : x
  2. Step 2: Convert to fraction form
    488,741.78/674,452.58 = 284,780/x
  3. Step 3: Cross multiply
    488,741.78x = 674,452.58 × 284,780
  4. Step 4: Simplify right side
    488,741.78x = 192,070,605,732.40
  5. Step 5: Solve for x
    x = 192,070,605,732.40/488,741.78
  6. Step 6: Final answer
    x = 392,989.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.