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Finding the Fourth Proportional to 417,657.60, 626,680.80 and 218,203.20

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Solution

The fourth proportional to 417,657.60, 626,680.80 and 218,203.20 is: 327,406.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,657.60 : 626,680.80 = 218,203.20 : x
  2. Step 2: Convert to fraction form
    417,657.60/626,680.80 = 218,203.20/x
  3. Step 3: Cross multiply
    417,657.60x = 626,680.80 × 218,203.20
  4. Step 4: Simplify right side
    417,657.60x = 136,743,755,938.56
  5. Step 5: Solve for x
    x = 136,743,755,938.56/417,657.60
  6. Step 6: Final answer
    x = 327,406.36

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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.