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Finding the Fourth Proportional to 398,856.48, 598,109.49 and 149,363.52

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Solution

The fourth proportional to 398,856.48, 598,109.49 and 149,363.52 is: 223,979.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,856.48 : 598,109.49 = 149,363.52 : x
  2. Step 2: Convert to fraction form
    398,856.48/598,109.49 = 149,363.52/x
  3. Step 3: Cross multiply
    398,856.48x = 598,109.49 × 149,363.52
  4. Step 4: Simplify right side
    398,856.48x = 89,335,738,771.80
  5. Step 5: Solve for x
    x = 89,335,738,771.80/398,856.48
  6. Step 6: Final answer
    x = 223,979.66

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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.