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Finding the Fourth Proportional to 398,998.76, 597,998.46 and 199,375.16

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Solution

The fourth proportional to 398,998.76, 597,998.46 and 199,375.16 is: 298,813.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,998.76 : 597,998.46 = 199,375.16 : x
  2. Step 2: Convert to fraction form
    398,998.76/597,998.46 = 199,375.16/x
  3. Step 3: Cross multiply
    398,998.76x = 597,998.46 × 199,375.16
  4. Step 4: Simplify right side
    398,998.76x = 119,226,038,642.25
  5. Step 5: Solve for x
    x = 119,226,038,642.25/398,998.76
  6. Step 6: Final answer
    x = 298,813.06

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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.