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Finding the Fourth Proportional to 256,167.36, 383,463.66 and 218,376

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Solution

The fourth proportional to 256,167.36, 383,463.66 and 218,376 is: 326,892.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,167.36 : 383,463.66 = 218,376 : x
  2. Step 2: Convert to fraction form
    256,167.36/383,463.66 = 218,376/x
  3. Step 3: Cross multiply
    256,167.36x = 383,463.66 × 218,376
  4. Step 4: Simplify right side
    256,167.36x = 83,739,260,216.16
  5. Step 5: Solve for x
    x = 83,739,260,216.16/256,167.36
  6. Step 6: Final answer
    x = 326,892.78

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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.