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Finding the Fourth Proportional to 431,846.73, 647,746.73 and 132,328.17

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Solution

The fourth proportional to 431,846.73, 647,746.73 and 132,328.17 is: 198,485.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,846.73 : 647,746.73 = 132,328.17 : x
  2. Step 2: Convert to fraction form
    431,846.73/647,746.73 = 132,328.17/x
  3. Step 3: Cross multiply
    431,846.73x = 647,746.73 × 132,328.17
  4. Step 4: Simplify right side
    431,846.73x = 85,715,138,742.74
  5. Step 5: Solve for x
    x = 85,715,138,742.74/431,846.73
  6. Step 6: Final answer
    x = 198,485.09

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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.