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Finding the Fourth Proportional to 431,063.20, 646,506.48 and 271,065.76

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Solution

The fourth proportional to 431,063.20, 646,506.48 and 271,065.76 is: 406,543.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,063.20 : 646,506.48 = 271,065.76 : x
  2. Step 2: Convert to fraction form
    431,063.20/646,506.48 = 271,065.76/x
  3. Step 3: Cross multiply
    431,063.20x = 646,506.48 × 271,065.76
  4. Step 4: Simplify right side
    431,063.20x = 175,245,770,346.13
  5. Step 5: Solve for x
    x = 175,245,770,346.13/431,063.20
  6. Step 6: Final answer
    x = 406,543.10

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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.