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Finding the Fourth Proportional to 308,754, 463,131 and 75,282

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Solution

The fourth proportional to 308,754, 463,131 and 75,282 is: 112,923

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,754 : 463,131 = 75,282 : x
  2. Step 2: Convert to fraction form
    308,754/463,131 = 75,282/x
  3. Step 3: Cross multiply
    308,754x = 463,131 × 75,282
  4. Step 4: Simplify right side
    308,754x = 34,865,427,942
  5. Step 5: Solve for x
    x = 34,865,427,942/308,754
  6. Step 6: Final answer
    x = 112,923

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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.