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Finding the Fourth Proportional to 256,678.50, 383,137.71 and 226,377.90

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Solution

The fourth proportional to 256,678.50, 383,137.71 and 226,377.90 is: 337,908.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,678.50 : 383,137.71 = 226,377.90 : x
  2. Step 2: Convert to fraction form
    256,678.50/383,137.71 = 226,377.90/x
  3. Step 3: Cross multiply
    256,678.50x = 383,137.71 × 226,377.90
  4. Step 4: Simplify right side
    256,678.50x = 86,733,910,200.61
  5. Step 5: Solve for x
    x = 86,733,910,200.61/256,678.50
  6. Step 6: Final answer
    x = 337,908.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.