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Finding the Fourth Proportional to 242,406, 363,648.39 and 71,645.04

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Solution

The fourth proportional to 242,406, 363,648.39 and 71,645.04 is: 107,479.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,406 : 363,648.39 = 71,645.04 : x
  2. Step 2: Convert to fraction form
    242,406/363,648.39 = 71,645.04/x
  3. Step 3: Cross multiply
    242,406x = 363,648.39 × 71,645.04
  4. Step 4: Simplify right side
    242,406x = 26,053,603,447.49
  5. Step 5: Solve for x
    x = 26,053,603,447.49/242,406
  6. Step 6: Final answer
    x = 107,479.20

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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.