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Finding the Fourth Proportional to 399,642.56, 599,449.95 and 100,125.68

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Solution

The fourth proportional to 399,642.56, 599,449.95 and 100,125.68 is: 150,185.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,642.56 : 599,449.95 = 100,125.68 : x
  2. Step 2: Convert to fraction form
    399,642.56/599,449.95 = 100,125.68/x
  3. Step 3: Cross multiply
    399,642.56x = 599,449.95 × 100,125.68
  4. Step 4: Simplify right side
    399,642.56x = 60,020,333,869.72
  5. Step 5: Solve for x
    x = 60,020,333,869.72/399,642.56
  6. Step 6: Final answer
    x = 150,185.04

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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.