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Finding the Fourth Proportional to 398,532.76, 597,669.13 and 132,221.77

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Solution

The fourth proportional to 398,532.76, 597,669.13 and 132,221.77 is: 198,289.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,532.76 : 597,669.13 = 132,221.77 : x
  2. Step 2: Convert to fraction form
    398,532.76/597,669.13 = 132,221.77/x
  3. Step 3: Cross multiply
    398,532.76x = 597,669.13 × 132,221.77
  4. Step 4: Simplify right side
    398,532.76x = 79,024,868,914.06
  5. Step 5: Solve for x
    x = 79,024,868,914.06/398,532.76
  6. Step 6: Final answer
    x = 198,289.52

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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.