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Finding the Fourth Proportional to 254,822, 382,217.88 and 77,330.48

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Solution

The fourth proportional to 254,822, 382,217.88 and 77,330.48 is: 115,991.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,822 : 382,217.88 = 77,330.48 : x
  2. Step 2: Convert to fraction form
    254,822/382,217.88 = 77,330.48/x
  3. Step 3: Cross multiply
    254,822x = 382,217.88 × 77,330.48
  4. Step 4: Simplify right side
    254,822x = 29,557,092,124.98
  5. Step 5: Solve for x
    x = 29,557,092,124.98/254,822
  6. Step 6: Final answer
    x = 115,991.13

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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.