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Finding the Fourth Proportional to 431,704.26, 647,187.12 and 165,655.71

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Solution

The fourth proportional to 431,704.26, 647,187.12 and 165,655.71 is: 248,341.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,704.26 : 647,187.12 = 165,655.71 : x
  2. Step 2: Convert to fraction form
    431,704.26/647,187.12 = 165,655.71/x
  3. Step 3: Cross multiply
    431,704.26x = 647,187.12 × 165,655.71
  4. Step 4: Simplify right side
    431,704.26x = 107,210,241,866.46
  5. Step 5: Solve for x
    x = 107,210,241,866.46/431,704.26
  6. Step 6: Final answer
    x = 248,341.87

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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.