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Finding the Fourth Proportional to 431,387.23, 596,390.55 and 323,770.43

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Solution

The fourth proportional to 431,387.23, 596,390.55 and 323,770.43 is: 447,610.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,387.23 : 596,390.55 = 323,770.43 : x
  2. Step 2: Convert to fraction form
    431,387.23/596,390.55 = 323,770.43/x
  3. Step 3: Cross multiply
    431,387.23x = 596,390.55 × 323,770.43
  4. Step 4: Simplify right side
    431,387.23x = 193,093,624,821.44
  5. Step 5: Solve for x
    x = 193,093,624,821.44/431,387.23
  6. Step 6: Final answer
    x = 447,610.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.