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Finding the Fourth Proportional to 488,406.38, 674,002.87 and 284,597.12

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Solution

The fourth proportional to 488,406.38, 674,002.87 and 284,597.12 is: 392,745.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,406.38 : 674,002.87 = 284,597.12 : x
  2. Step 2: Convert to fraction form
    488,406.38/674,002.87 = 284,597.12/x
  3. Step 3: Cross multiply
    488,406.38x = 674,002.87 × 284,597.12
  4. Step 4: Simplify right side
    488,406.38x = 191,819,276,352.48
  5. Step 5: Solve for x
    x = 191,819,276,352.48/488,406.38
  6. Step 6: Final answer
    x = 392,745.23

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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.