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Finding the Fourth Proportional to 490,796.88, 736,211.70 and 135,781.20

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Solution

The fourth proportional to 490,796.88, 736,211.70 and 135,781.20 is: 203,676.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,796.88 : 736,211.70 = 135,781.20 : x
  2. Step 2: Convert to fraction form
    490,796.88/736,211.70 = 135,781.20/x
  3. Step 3: Cross multiply
    490,796.88x = 736,211.70 × 135,781.20
  4. Step 4: Simplify right side
    490,796.88x = 99,963,708,080.04
  5. Step 5: Solve for x
    x = 99,963,708,080.04/490,796.88
  6. Step 6: Final answer
    x = 203,676.33

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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.