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Finding the Fourth Proportional to 282,123.84, 389,324 and 157,943.28

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Solution

The fourth proportional to 282,123.84, 389,324 and 157,943.28 is: 217,957.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,123.84 : 389,324 = 157,943.28 : x
  2. Step 2: Convert to fraction form
    282,123.84/389,324 = 157,943.28/x
  3. Step 3: Cross multiply
    282,123.84x = 389,324 × 157,943.28
  4. Step 4: Simplify right side
    282,123.84x = 61,491,109,542.72
  5. Step 5: Solve for x
    x = 61,491,109,542.72/282,123.84
  6. Step 6: Final answer
    x = 217,957.86

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1.5x scale

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.