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Finding the Fourth Proportional to 431,966.78, 648,074.54 and 132,491.28

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Solution

The fourth proportional to 431,966.78, 648,074.54 and 132,491.28 is: 198,775.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,966.78 : 648,074.54 = 132,491.28 : x
  2. Step 2: Convert to fraction form
    431,966.78/648,074.54 = 132,491.28/x
  3. Step 3: Cross multiply
    431,966.78x = 648,074.54 × 132,491.28
  4. Step 4: Simplify right side
    431,966.78x = 85,864,225,340.01
  5. Step 5: Solve for x
    x = 85,864,225,340.01/431,966.78
  6. Step 6: Final answer
    x = 198,775.07

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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.