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Finding the Fourth Proportional to 288,431.92, 398,033.68 and 159,370

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Solution

The fourth proportional to 288,431.92, 398,033.68 and 159,370 is: 219,929.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,431.92 : 398,033.68 = 159,370 : x
  2. Step 2: Convert to fraction form
    288,431.92/398,033.68 = 159,370/x
  3. Step 3: Cross multiply
    288,431.92x = 398,033.68 × 159,370
  4. Step 4: Simplify right side
    288,431.92x = 63,434,627,581.60
  5. Step 5: Solve for x
    x = 63,434,627,581.60/288,431.92
  6. Step 6: Final answer
    x = 219,929.29

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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.