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Finding the Fourth Proportional to 288,622.72, 398,264.83 and 159,543.75

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Solution

The fourth proportional to 288,622.72, 398,264.83 and 159,543.75 is: 220,151.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,622.72 : 398,264.83 = 159,543.75 : x
  2. Step 2: Convert to fraction form
    288,622.72/398,264.83 = 159,543.75/x
  3. Step 3: Cross multiply
    288,622.72x = 398,264.83 × 159,543.75
  4. Step 4: Simplify right side
    288,622.72x = 63,540,664,471.31
  5. Step 5: Solve for x
    x = 63,540,664,471.31/288,622.72
  6. Step 6: Final answer
    x = 220,151.29

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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.