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Finding the Fourth Proportional to 490,877.20, 735,797.40 and 280,061.20

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Solution

The fourth proportional to 490,877.20, 735,797.40 and 280,061.20 is: 419,796.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,877.20 : 735,797.40 = 280,061.20 : x
  2. Step 2: Convert to fraction form
    490,877.20/735,797.40 = 280,061.20/x
  3. Step 3: Cross multiply
    490,877.20x = 735,797.40 × 280,061.20
  4. Step 4: Simplify right side
    490,877.20x = 206,068,302,800.88
  5. Step 5: Solve for x
    x = 206,068,302,800.88/490,877.20
  6. Step 6: Final answer
    x = 419,796.04

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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.