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Finding the Fourth Proportional to 321,402.78, 482,098.80 and 78,246.42

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Solution

The fourth proportional to 321,402.78, 482,098.80 and 78,246.42 is: 117,368.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,402.78 : 482,098.80 = 78,246.42 : x
  2. Step 2: Convert to fraction form
    321,402.78/482,098.80 = 78,246.42/x
  3. Step 3: Cross multiply
    321,402.78x = 482,098.80 × 78,246.42
  4. Step 4: Simplify right side
    321,402.78x = 37,722,503,671.85
  5. Step 5: Solve for x
    x = 37,722,503,671.85/321,402.78
  6. Step 6: Final answer
    x = 117,368.32

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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.