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Finding the Fourth Proportional to 321,356.20, 482,031.90 and 96,715.64

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Solution

The fourth proportional to 321,356.20, 482,031.90 and 96,715.64 is: 145,072.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,356.20 : 482,031.90 = 96,715.64 : x
  2. Step 2: Convert to fraction form
    321,356.20/482,031.90 = 96,715.64/x
  3. Step 3: Cross multiply
    321,356.20x = 482,031.90 × 96,715.64
  4. Step 4: Simplify right side
    321,356.20x = 46,620,023,708.92
  5. Step 5: Solve for x
    x = 46,620,023,708.92/321,356.20
  6. Step 6: Final answer
    x = 145,072.74

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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.