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Finding the Fourth Proportional to 242,231, 361,796.12 and 219,400.72

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Solution

The fourth proportional to 242,231, 361,796.12 and 219,400.72 is: 327,696.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,231 : 361,796.12 = 219,400.72 : x
  2. Step 2: Convert to fraction form
    242,231/361,796.12 = 219,400.72/x
  3. Step 3: Cross multiply
    242,231x = 361,796.12 × 219,400.72
  4. Step 4: Simplify right side
    242,231x = 79,378,329,221.21
  5. Step 5: Solve for x
    x = 79,378,329,221.21/242,231
  6. Step 6: Final answer
    x = 327,696.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.