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Finding the Fourth Proportional to 438,920.40, 658,186.20 and 202,141.20

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Solution

The fourth proportional to 438,920.40, 658,186.20 and 202,141.20 is: 303,122.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,920.40 : 658,186.20 = 202,141.20 : x
  2. Step 2: Convert to fraction form
    438,920.40/658,186.20 = 202,141.20/x
  3. Step 3: Cross multiply
    438,920.40x = 658,186.20 × 202,141.20
  4. Step 4: Simplify right side
    438,920.40x = 133,046,548,291.44
  5. Step 5: Solve for x
    x = 133,046,548,291.44/438,920.40
  6. Step 6: Final answer
    x = 303,122.27

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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.