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Finding the Fourth Proportional to 438,712.80, 658,069.20 and 398,034.60

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Solution

The fourth proportional to 438,712.80, 658,069.20 and 398,034.60 is: 597,051.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,712.80 : 658,069.20 = 398,034.60 : x
  2. Step 2: Convert to fraction form
    438,712.80/658,069.20 = 398,034.60/x
  3. Step 3: Cross multiply
    438,712.80x = 658,069.20 × 398,034.60
  4. Step 4: Simplify right side
    438,712.80x = 261,934,310,794.32
  5. Step 5: Solve for x
    x = 261,934,310,794.32/438,712.80
  6. Step 6: Final answer
    x = 597,051.90

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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.