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Finding the Fourth Proportional to 308,470.64, 462,705.26 and 83,863.71

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Solution

The fourth proportional to 308,470.64, 462,705.26 and 83,863.71 is: 125,795.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,470.64 : 462,705.26 = 83,863.71 : x
  2. Step 2: Convert to fraction form
    308,470.64/462,705.26 = 83,863.71/x
  3. Step 3: Cross multiply
    308,470.64x = 462,705.26 × 83,863.71
  4. Step 4: Simplify right side
    308,470.64x = 38,804,179,320.80
  5. Step 5: Solve for x
    x = 38,804,179,320.80/308,470.64
  6. Step 6: Final answer
    x = 125,795.38

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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.