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Finding the Fourth Proportional to 431,695.48, 647,173.88 and 165,646.92

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Solution

The fourth proportional to 431,695.48, 647,173.88 and 165,646.92 is: 248,328.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,695.48 : 647,173.88 = 165,646.92 : x
  2. Step 2: Convert to fraction form
    431,695.48/647,173.88 = 165,646.92/x
  3. Step 3: Cross multiply
    431,695.48x = 647,173.88 × 165,646.92
  4. Step 4: Simplify right side
    431,695.48x = 107,202,359,926.45
  5. Step 5: Solve for x
    x = 107,202,359,926.45/431,695.48
  6. Step 6: Final answer
    x = 248,328.66

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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.