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Finding the Fourth Proportional to 539,738.40, 809,704.80 and 224,227.20

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Solution

The fourth proportional to 539,738.40, 809,704.80 and 224,227.20 is: 336,381.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,738.40 : 809,704.80 = 224,227.20 : x
  2. Step 2: Convert to fraction form
    539,738.40/809,704.80 = 224,227.20/x
  3. Step 3: Cross multiply
    539,738.40x = 809,704.80 × 224,227.20
  4. Step 4: Simplify right side
    539,738.40x = 181,557,840,130.56
  5. Step 5: Solve for x
    x = 181,557,840,130.56/539,738.40
  6. Step 6: Final answer
    x = 336,381.18

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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.