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Finding the Fourth Proportional to 321,565.44, 482,342.40 and 131,984.64

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Solution

The fourth proportional to 321,565.44, 482,342.40 and 131,984.64 is: 197,974.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,565.44 : 482,342.40 = 131,984.64 : x
  2. Step 2: Convert to fraction form
    321,565.44/482,342.40 = 131,984.64/x
  3. Step 3: Cross multiply
    321,565.44x = 482,342.40 × 131,984.64
  4. Step 4: Simplify right side
    321,565.44x = 63,661,788,020.74
  5. Step 5: Solve for x
    x = 63,661,788,020.74/321,565.44
  6. Step 6: Final answer
    x = 197,974.60

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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.