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Finding the Fourth Proportional to 431,333.33, 647,077.75 and 147,008.14

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Solution

The fourth proportional to 431,333.33, 647,077.75 and 147,008.14 is: 220,538.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,333.33 : 647,077.75 = 147,008.14 : x
  2. Step 2: Convert to fraction form
    431,333.33/647,077.75 = 147,008.14/x
  3. Step 3: Cross multiply
    431,333.33x = 647,077.75 × 147,008.14
  4. Step 4: Simplify right side
    431,333.33x = 95,125,694,477.67
  5. Step 5: Solve for x
    x = 95,125,694,477.67/431,333.33
  6. Step 6: Final answer
    x = 220,538.71

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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.