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Finding the Fourth Proportional to 431,770.60, 647,348.70 and 165,428.20

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Solution

The fourth proportional to 431,770.60, 647,348.70 and 165,428.20 is: 248,024.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,770.60 : 647,348.70 = 165,428.20 : x
  2. Step 2: Convert to fraction form
    431,770.60/647,348.70 = 165,428.20/x
  3. Step 3: Cross multiply
    431,770.60x = 647,348.70 × 165,428.20
  4. Step 4: Simplify right side
    431,770.60x = 107,089,730,213.34
  5. Step 5: Solve for x
    x = 107,089,730,213.34/431,770.60
  6. Step 6: Final answer
    x = 248,024.60

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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.