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Finding the Fourth Proportional to 490,881.20, 735,803.40 and 280,065.20

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Solution

The fourth proportional to 490,881.20, 735,803.40 and 280,065.20 is: 419,802.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,881.20 : 735,803.40 = 280,065.20 : x
  2. Step 2: Convert to fraction form
    490,881.20/735,803.40 = 280,065.20/x
  3. Step 3: Cross multiply
    490,881.20x = 735,803.40 × 280,065.20
  4. Step 4: Simplify right side
    490,881.20x = 206,072,926,381.68
  5. Step 5: Solve for x
    x = 206,072,926,381.68/490,881.20
  6. Step 6: Final answer
    x = 419,802.03

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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.