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Finding the Fourth Proportional to 288,825.78, 398,548.92 and 159,743.75

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Solution

The fourth proportional to 288,825.78, 398,548.92 and 159,743.75 is: 220,429.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,825.78 : 398,548.92 = 159,743.75 : x
  2. Step 2: Convert to fraction form
    288,825.78/398,548.92 = 159,743.75/x
  3. Step 3: Cross multiply
    288,825.78x = 398,548.92 × 159,743.75
  4. Step 4: Simplify right side
    288,825.78x = 63,665,697,645.54
  5. Step 5: Solve for x
    x = 63,665,697,645.54/288,825.78
  6. Step 6: Final answer
    x = 220,429.41

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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.