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Finding the Fourth Proportional to 431,966.93, 648,074.75 and 132,491.43

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Solution

The fourth proportional to 431,966.93, 648,074.75 and 132,491.43 is: 198,775.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,966.93 : 648,074.75 = 132,491.43 : x
  2. Step 2: Convert to fraction form
    431,966.93/648,074.75 = 132,491.43/x
  3. Step 3: Cross multiply
    431,966.93x = 648,074.75 × 132,491.43
  4. Step 4: Simplify right side
    431,966.93x = 85,864,349,711.94
  5. Step 5: Solve for x
    x = 85,864,349,711.94/431,966.93
  6. Step 6: Final answer
    x = 198,775.29

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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.