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Finding the Fourth Proportional to 399,808.47, 599,343.65 and 199,954.95

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Solution

The fourth proportional to 399,808.47, 599,343.65 and 199,954.95 is: 299,747.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,808.47 : 599,343.65 = 199,954.95 : x
  2. Step 2: Convert to fraction form
    399,808.47/599,343.65 = 199,954.95/x
  3. Step 3: Cross multiply
    399,808.47x = 599,343.65 × 199,954.95
  4. Step 4: Simplify right side
    399,808.47x = 119,841,729,568.57
  5. Step 5: Solve for x
    x = 119,841,729,568.57/399,808.47
  6. Step 6: Final answer
    x = 299,747.85

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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.