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Finding the Fourth Proportional to 321,691.20, 482,653.80 and 111,350.40

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Solution

The fourth proportional to 321,691.20, 482,653.80 and 111,350.40 is: 167,066.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,691.20 : 482,653.80 = 111,350.40 : x
  2. Step 2: Convert to fraction form
    321,691.20/482,653.80 = 111,350.40/x
  3. Step 3: Cross multiply
    321,691.20x = 482,653.80 × 111,350.40
  4. Step 4: Simplify right side
    321,691.20x = 53,743,693,691.52
  5. Step 5: Solve for x
    x = 53,743,693,691.52/321,691.20
  6. Step 6: Final answer
    x = 167,066.10

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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.