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Finding the Fourth Proportional to 490,233.76, 735,393 and 135,247.78

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Solution

The fourth proportional to 490,233.76, 735,393 and 135,247.78 is: 202,883.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,233.76 : 735,393 = 135,247.78 : x
  2. Step 2: Convert to fraction form
    490,233.76/735,393 = 135,247.78/x
  3. Step 3: Cross multiply
    490,233.76x = 735,393 × 135,247.78
  4. Step 4: Simplify right side
    490,233.76x = 99,460,270,677.54
  5. Step 5: Solve for x
    x = 99,460,270,677.54/490,233.76
  6. Step 6: Final answer
    x = 202,883.36

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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.