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Finding the Fourth Proportional to 439,200.70, 658,363.65 and 202,129.90

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Solution

The fourth proportional to 439,200.70, 658,363.65 and 202,129.90 is: 302,993.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,200.70 : 658,363.65 = 202,129.90 : x
  2. Step 2: Convert to fraction form
    439,200.70/658,363.65 = 202,129.90/x
  3. Step 3: Cross multiply
    439,200.70x = 658,363.65 × 202,129.90
  4. Step 4: Simplify right side
    439,200.70x = 133,074,978,738.14
  5. Step 5: Solve for x
    x = 133,074,978,738.14/439,200.70
  6. Step 6: Final answer
    x = 302,993.55

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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.