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Finding the Fourth Proportional to 308,010.40, 462,177.52 and 218,629.92

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Solution

The fourth proportional to 308,010.40, 462,177.52 and 218,629.92 is: 328,059.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,010.40 : 462,177.52 = 218,629.92 : x
  2. Step 2: Convert to fraction form
    308,010.40/462,177.52 = 218,629.92/x
  3. Step 3: Cross multiply
    308,010.40x = 462,177.52 × 218,629.92
  4. Step 4: Simplify right side
    308,010.40x = 101,045,834,223.40
  5. Step 5: Solve for x
    x = 101,045,834,223.40/308,010.40
  6. Step 6: Final answer
    x = 328,059.81

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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.