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Finding the Fourth Proportional to 308,098.20, 462,147.30 and 108,643.80

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Solution

The fourth proportional to 308,098.20, 462,147.30 and 108,643.80 is: 162,965.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,098.20 : 462,147.30 = 108,643.80 : x
  2. Step 2: Convert to fraction form
    308,098.20/462,147.30 = 108,643.80/x
  3. Step 3: Cross multiply
    308,098.20x = 462,147.30 × 108,643.80
  4. Step 4: Simplify right side
    308,098.20x = 50,209,438,831.74
  5. Step 5: Solve for x
    x = 50,209,438,831.74/308,098.20
  6. Step 6: Final answer
    x = 162,965.70

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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.