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Finding the Fourth Proportional to 282,398.61, 389,712.78 and 155,076.87

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Solution

The fourth proportional to 282,398.61, 389,712.78 and 155,076.87 is: 214,007.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,398.61 : 389,712.78 = 155,076.87 : x
  2. Step 2: Convert to fraction form
    282,398.61/389,712.78 = 155,076.87/x
  3. Step 3: Cross multiply
    282,398.61x = 389,712.78 × 155,076.87
  4. Step 4: Simplify right side
    282,398.61x = 60,435,438,121.40
  5. Step 5: Solve for x
    x = 60,435,438,121.40/282,398.61
  6. Step 6: Final answer
    x = 214,007.56

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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.