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Finding the Fourth Proportional to 386,860.71, 580,373.99 and 116,965.78

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Solution

The fourth proportional to 386,860.71, 580,373.99 and 116,965.78 is: 175,473.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,860.71 : 580,373.99 = 116,965.78 : x
  2. Step 2: Convert to fraction form
    386,860.71/580,373.99 = 116,965.78/x
  3. Step 3: Cross multiply
    386,860.71x = 580,373.99 × 116,965.78
  4. Step 4: Simplify right side
    386,860.71x = 67,883,896,432.06
  5. Step 5: Solve for x
    x = 67,883,896,432.06/386,860.71
  6. Step 6: Final answer
    x = 175,473.74

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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.