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Finding the Fourth Proportional to 449,424.80, 674,234.40 and 149,854.40

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Solution

The fourth proportional to 449,424.80, 674,234.40 and 149,854.40 is: 224,814.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,424.80 : 674,234.40 = 149,854.40 : x
  2. Step 2: Convert to fraction form
    449,424.80/674,234.40 = 149,854.40/x
  3. Step 3: Cross multiply
    449,424.80x = 674,234.40 × 149,854.40
  4. Step 4: Simplify right side
    449,424.80x = 101,036,991,471.36
  5. Step 5: Solve for x
    x = 101,036,991,471.36/449,424.80
  6. Step 6: Final answer
    x = 224,814.01

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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.