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Finding the Fourth Proportional to 308,319.84, 462,472.56 and 142,107.84

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Solution

The fourth proportional to 308,319.84, 462,472.56 and 142,107.84 is: 213,158.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,319.84 : 462,472.56 = 142,107.84 : x
  2. Step 2: Convert to fraction form
    308,319.84/462,472.56 = 142,107.84/x
  3. Step 3: Cross multiply
    308,319.84x = 462,472.56 × 142,107.84
  4. Step 4: Simplify right side
    308,319.84x = 65,720,976,560.87
  5. Step 5: Solve for x
    x = 65,720,976,560.87/308,319.84
  6. Step 6: Final answer
    x = 213,158.44

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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.