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Finding the Fourth Proportional to 398,854.29, 597,782.49 and 199,230.39

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Solution

The fourth proportional to 398,854.29, 597,782.49 and 199,230.39 is: 298,596.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,854.29 : 597,782.49 = 199,230.39 : x
  2. Step 2: Convert to fraction form
    398,854.29/597,782.49 = 199,230.39/x
  3. Step 3: Cross multiply
    398,854.29x = 597,782.49 × 199,230.39
  4. Step 4: Simplify right side
    398,854.29x = 119,096,438,617.87
  5. Step 5: Solve for x
    x = 119,096,438,617.87/398,854.29
  6. Step 6: Final answer
    x = 298,596.36

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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.