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Finding the Fourth Proportional to 438,122.80, 656,819.70 and 185,597.20

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Solution

The fourth proportional to 438,122.80, 656,819.70 and 185,597.20 is: 278,241.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,122.80 : 656,819.70 = 185,597.20 : x
  2. Step 2: Convert to fraction form
    438,122.80/656,819.70 = 185,597.20/x
  3. Step 3: Cross multiply
    438,122.80x = 656,819.70 × 185,597.20
  4. Step 4: Simplify right side
    438,122.80x = 121,903,897,224.84
  5. Step 5: Solve for x
    x = 121,903,897,224.84/438,122.80
  6. Step 6: Final answer
    x = 278,241.39

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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.