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Finding the Fourth Proportional to 288,497.18, 398,105.25 and 159,434.11

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Solution

The fourth proportional to 288,497.18, 398,105.25 and 159,434.11 is: 220,007.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,497.18 : 398,105.25 = 159,434.11 : x
  2. Step 2: Convert to fraction form
    288,497.18/398,105.25 = 159,434.11/x
  3. Step 3: Cross multiply
    288,497.18x = 398,105.25 × 159,434.11
  4. Step 4: Simplify right side
    288,497.18x = 63,471,553,880.49
  5. Step 5: Solve for x
    x = 63,471,553,880.49/288,497.18
  6. Step 6: Final answer
    x = 220,007.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.