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Finding the Fourth Proportional to 289,981.92, 400,148.16 and 162,632.88

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Solution

The fourth proportional to 289,981.92, 400,148.16 and 162,632.88 is: 224,418.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,981.92 : 400,148.16 = 162,632.88 : x
  2. Step 2: Convert to fraction form
    289,981.92/400,148.16 = 162,632.88/x
  3. Step 3: Cross multiply
    289,981.92x = 400,148.16 × 162,632.88
  4. Step 4: Simplify right side
    289,981.92x = 65,077,247,687.50
  5. Step 5: Solve for x
    x = 65,077,247,687.50/289,981.92
  6. Step 6: Final answer
    x = 224,418.29

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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.