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Finding the Fourth Proportional to 283,380.28, 424,778.82 and 125,683

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Solution

The fourth proportional to 283,380.28, 424,778.82 and 125,683 is: 188,395.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,380.28 : 424,778.82 = 125,683 : x
  2. Step 2: Convert to fraction form
    283,380.28/424,778.82 = 125,683/x
  3. Step 3: Cross multiply
    283,380.28x = 424,778.82 × 125,683
  4. Step 4: Simplify right side
    283,380.28x = 53,387,476,434.06
  5. Step 5: Solve for x
    x = 53,387,476,434.06/283,380.28
  6. Step 6: Final answer
    x = 188,395.17

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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.