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Finding the Fourth Proportional to 256,468.28, 384,724.28 and 66,953.79

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Solution

The fourth proportional to 256,468.28, 384,724.28 and 66,953.79 is: 100,436.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,468.28 : 384,724.28 = 66,953.79 : x
  2. Step 2: Convert to fraction form
    256,468.28/384,724.28 = 66,953.79/x
  3. Step 3: Cross multiply
    256,468.28x = 384,724.28 × 66,953.79
  4. Step 4: Simplify right side
    256,468.28x = 25,758,748,818.41
  5. Step 5: Solve for x
    x = 25,758,748,818.41/256,468.28
  6. Step 6: Final answer
    x = 100,436.39

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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.