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Finding the Fourth Proportional to 256,387.71, 383,834.34 and 149,444.64

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Solution

The fourth proportional to 256,387.71, 383,834.34 and 149,444.64 is: 223,731.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,387.71 : 383,834.34 = 149,444.64 : x
  2. Step 2: Convert to fraction form
    256,387.71/383,834.34 = 149,444.64/x
  3. Step 3: Cross multiply
    256,387.71x = 383,834.34 × 149,444.64
  4. Step 4: Simplify right side
    256,387.71x = 57,361,984,760.94
  5. Step 5: Solve for x
    x = 57,361,984,760.94/256,387.71
  6. Step 6: Final answer
    x = 223,731.41

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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.