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Finding the Fourth Proportional to 242,562.20, 363,908.10 and 216,447.80

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Solution

The fourth proportional to 242,562.20, 363,908.10 and 216,447.80 is: 324,729.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,562.20 : 363,908.10 = 216,447.80 : x
  2. Step 2: Convert to fraction form
    242,562.20/363,908.10 = 216,447.80/x
  3. Step 3: Cross multiply
    242,562.20x = 363,908.10 × 216,447.80
  4. Step 4: Simplify right side
    242,562.20x = 78,767,107,647.18
  5. Step 5: Solve for x
    x = 78,767,107,647.18/242,562.20
  6. Step 6: Final answer
    x = 324,729.52

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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.