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Finding the Fourth Proportional to 490,065.44, 735,148.98 and 135,079.52

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Solution

The fourth proportional to 490,065.44, 735,148.98 and 135,079.52 is: 202,633.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,065.44 : 735,148.98 = 135,079.52 : x
  2. Step 2: Convert to fraction form
    490,065.44/735,148.98 = 135,079.52/x
  3. Step 3: Cross multiply
    490,065.44x = 735,148.98 × 135,079.52
  4. Step 4: Simplify right side
    490,065.44x = 99,303,571,346.89
  5. Step 5: Solve for x
    x = 99,303,571,346.89/490,065.44
  6. Step 6: Final answer
    x = 202,633.29

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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.