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Finding the Fourth Proportional to 321,560.33, 482,335.82 and 78,402.38

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Solution

The fourth proportional to 321,560.33, 482,335.82 and 78,402.38 is: 117,602.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,560.33 : 482,335.82 = 78,402.38 : x
  2. Step 2: Convert to fraction form
    321,560.33/482,335.82 = 78,402.38/x
  3. Step 3: Cross multiply
    321,560.33x = 482,335.82 × 78,402.38
  4. Step 4: Simplify right side
    321,560.33x = 37,816,276,247.25
  5. Step 5: Solve for x
    x = 37,816,276,247.25/321,560.33
  6. Step 6: Final answer
    x = 117,602.43

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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.