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Finding the Fourth Proportional to 431,625.79, 647,177.90 and 172,003.33

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Solution

The fourth proportional to 431,625.79, 647,177.90 and 172,003.33 is: 257,901.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,625.79 : 647,177.90 = 172,003.33 : x
  2. Step 2: Convert to fraction form
    431,625.79/647,177.90 = 172,003.33/x
  3. Step 3: Cross multiply
    431,625.79x = 647,177.90 × 172,003.33
  4. Step 4: Simplify right side
    431,625.79x = 111,316,754,818.88
  5. Step 5: Solve for x
    x = 111,316,754,818.88/431,625.79
  6. Step 6: Final answer
    x = 257,901.07

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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.