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Finding the Fourth Proportional to 242,390.56, 363,602.45 and 82,401.39

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Solution

The fourth proportional to 242,390.56, 363,602.45 and 82,401.39 is: 123,607.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,390.56 : 363,602.45 = 82,401.39 : x
  2. Step 2: Convert to fraction form
    242,390.56/363,602.45 = 82,401.39/x
  3. Step 3: Cross multiply
    242,390.56x = 363,602.45 × 82,401.39
  4. Step 4: Simplify right side
    242,390.56x = 29,961,347,287.41
  5. Step 5: Solve for x
    x = 29,961,347,287.41/242,390.56
  6. Step 6: Final answer
    x = 123,607.73

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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.