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Finding the Fourth Proportional to 308,452.39, 462,565.25 and 105,991.07

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Solution

The fourth proportional to 308,452.39, 462,565.25 and 105,991.07 is: 158,947.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,452.39 : 462,565.25 = 105,991.07 : x
  2. Step 2: Convert to fraction form
    308,452.39/462,565.25 = 105,991.07/x
  3. Step 3: Cross multiply
    308,452.39x = 462,565.25 × 105,991.07
  4. Step 4: Simplify right side
    308,452.39x = 49,027,785,792.32
  5. Step 5: Solve for x
    x = 49,027,785,792.32/308,452.39
  6. Step 6: Final answer
    x = 158,947.66

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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.