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Finding the Fourth Proportional to 308,356.71, 462,565.84 and 83,720.76

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Solution

The fourth proportional to 308,356.71, 462,565.84 and 83,720.76 is: 125,589.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,356.71 : 462,565.84 = 83,720.76 : x
  2. Step 2: Convert to fraction form
    308,356.71/462,565.84 = 83,720.76/x
  3. Step 3: Cross multiply
    308,356.71x = 462,565.84 × 83,720.76
  4. Step 4: Simplify right side
    308,356.71x = 38,726,363,674.84
  5. Step 5: Solve for x
    x = 38,726,363,674.84/308,356.71
  6. Step 6: Final answer
    x = 125,589.50

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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.