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Finding the Fourth Proportional to 282,428.31, 389,753.64 and 155,104.86

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Solution

The fourth proportional to 282,428.31, 389,753.64 and 155,104.86 is: 214,046.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,428.31 : 389,753.64 = 155,104.86 : x
  2. Step 2: Convert to fraction form
    282,428.31/389,753.64 = 155,104.86/x
  3. Step 3: Cross multiply
    282,428.31x = 389,753.64 × 155,104.86
  4. Step 4: Simplify right side
    282,428.31x = 60,452,683,766.69
  5. Step 5: Solve for x
    x = 60,452,683,766.69/282,428.31
  6. Step 6: Final answer
    x = 214,046.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.