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Finding the Fourth Proportional to 398,920.16, 597,881.20 and 199,296.16

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Solution

The fourth proportional to 398,920.16, 597,881.20 and 199,296.16 is: 298,694.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,920.16 : 597,881.20 = 199,296.16 : x
  2. Step 2: Convert to fraction form
    398,920.16/597,881.20 = 199,296.16/x
  3. Step 3: Cross multiply
    398,920.16x = 597,881.20 × 199,296.16
  4. Step 4: Simplify right side
    398,920.16x = 119,155,427,296.19
  5. Step 5: Solve for x
    x = 119,155,427,296.19/398,920.16
  6. Step 6: Final answer
    x = 298,694.93

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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.