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Finding the Fourth Proportional to 288,891.75, 398,682.52 and 159,828.18

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Solution

The fourth proportional to 288,891.75, 398,682.52 and 159,828.18 is: 220,569.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,891.75 : 398,682.52 = 159,828.18 : x
  2. Step 2: Convert to fraction form
    288,891.75/398,682.52 = 159,828.18/x
  3. Step 3: Cross multiply
    288,891.75x = 398,682.52 × 159,828.18
  4. Step 4: Simplify right side
    288,891.75x = 63,720,701,569.41
  5. Step 5: Solve for x
    x = 63,720,701,569.41/288,891.75
  6. Step 6: Final answer
    x = 220,569.47

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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.