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Finding the Fourth Proportional to 438,798.40, 658,003.20 and 202,213.60

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Solution

The fourth proportional to 438,798.40, 658,003.20 and 202,213.60 is: 303,230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,798.40 : 658,003.20 = 202,213.60 : x
  2. Step 2: Convert to fraction form
    438,798.40/658,003.20 = 202,213.60/x
  3. Step 3: Cross multiply
    438,798.40x = 658,003.20 × 202,213.60
  4. Step 4: Simplify right side
    438,798.40x = 133,057,195,883.52
  5. Step 5: Solve for x
    x = 133,057,195,883.52/438,798.40
  6. Step 6: Final answer
    x = 303,230.81

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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.