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Finding the Fourth Proportional to 431,695.80, 648,126.90 and 274,231.80

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Solution

The fourth proportional to 431,695.80, 648,126.90 and 274,231.80 is: 411,718.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,695.80 : 648,126.90 = 274,231.80 : x
  2. Step 2: Convert to fraction form
    431,695.80/648,126.90 = 274,231.80/x
  3. Step 3: Cross multiply
    431,695.80x = 648,126.90 × 274,231.80
  4. Step 4: Simplify right side
    431,695.80x = 177,737,006,415.42
  5. Step 5: Solve for x
    x = 177,737,006,415.42/431,695.80
  6. Step 6: Final answer
    x = 411,718.17

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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.