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Finding the Fourth Proportional to 288,531.76, 398,161.44 and 159,463.56

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Solution

The fourth proportional to 288,531.76, 398,161.44 and 159,463.56 is: 220,052.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,531.76 : 398,161.44 = 159,463.56 : x
  2. Step 2: Convert to fraction form
    288,531.76/398,161.44 = 159,463.56/x
  3. Step 3: Cross multiply
    288,531.76x = 398,161.44 × 159,463.56
  4. Step 4: Simplify right side
    288,531.76x = 63,492,240,377.67
  5. Step 5: Solve for x
    x = 63,492,240,377.67/288,531.76
  6. Step 6: Final answer
    x = 220,052.87

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1.5x scale

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.