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Finding the Fourth Proportional to 490,279.70, 735,461.94 and 135,293.74

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Solution

The fourth proportional to 490,279.70, 735,461.94 and 135,293.74 is: 202,952.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,279.70 : 735,461.94 = 135,293.74 : x
  2. Step 2: Convert to fraction form
    490,279.70/735,461.94 = 135,293.74/x
  3. Step 3: Cross multiply
    490,279.70x = 735,461.94 × 135,293.74
  4. Step 4: Simplify right side
    490,279.70x = 99,503,392,812.95
  5. Step 5: Solve for x
    x = 99,503,392,812.95/490,279.70
  6. Step 6: Final answer
    x = 202,952.30

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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.