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Finding the Fourth Proportional to 329,470.72, 494,267.90 and 149,568.76

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Solution

The fourth proportional to 329,470.72, 494,267.90 and 149,568.76 is: 224,381.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,470.72 : 494,267.90 = 149,568.76 : x
  2. Step 2: Convert to fraction form
    329,470.72/494,267.90 = 149,568.76/x
  3. Step 3: Cross multiply
    329,470.72x = 494,267.90 × 149,568.76
  4. Step 4: Simplify right side
    329,470.72x = 73,927,036,910.80
  5. Step 5: Solve for x
    x = 73,927,036,910.80/329,470.72
  6. Step 6: Final answer
    x = 224,381.20

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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.