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Finding the Fourth Proportional to 490,715.20, 735,554.40 and 279,899.20

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Solution

The fourth proportional to 490,715.20, 735,554.40 and 279,899.20 is: 419,553.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,715.20 : 735,554.40 = 279,899.20 : x
  2. Step 2: Convert to fraction form
    490,715.20/735,554.40 = 279,899.20/x
  3. Step 3: Cross multiply
    490,715.20x = 735,554.40 × 279,899.20
  4. Step 4: Simplify right side
    490,715.20x = 205,881,088,116.48
  5. Step 5: Solve for x
    x = 205,881,088,116.48/490,715.20
  6. Step 6: Final answer
    x = 419,553.11

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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.