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Finding the Fourth Proportional to 256,963.40, 385,223.46 and 123,660.28

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Solution

The fourth proportional to 256,963.40, 385,223.46 and 123,660.28 is: 185,383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,963.40 : 385,223.46 = 123,660.28 : x
  2. Step 2: Convert to fraction form
    256,963.40/385,223.46 = 123,660.28/x
  3. Step 3: Cross multiply
    256,963.40x = 385,223.46 × 123,660.28
  4. Step 4: Simplify right side
    256,963.40x = 47,636,840,926.17
  5. Step 5: Solve for x
    x = 47,636,840,926.17/256,963.40
  6. Step 6: Final answer
    x = 185,383.76

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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.