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Finding the Fourth Proportional to 308,339.30, 462,502.38 and 142,127.30

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Solution

The fourth proportional to 308,339.30, 462,502.38 and 142,127.30 is: 213,187.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,339.30 : 462,502.38 = 142,127.30 : x
  2. Step 2: Convert to fraction form
    308,339.30/462,502.38 = 142,127.30/x
  3. Step 3: Cross multiply
    308,339.30x = 462,502.38 × 142,127.30
  4. Step 4: Simplify right side
    308,339.30x = 65,734,214,512.97
  5. Step 5: Solve for x
    x = 65,734,214,512.97/308,339.30
  6. Step 6: Final answer
    x = 213,187.92

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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.