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Finding the Fourth Proportional to 288,587.96, 398,243.76 and 161,264.60

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Solution

The fourth proportional to 288,587.96, 398,243.76 and 161,264.60 is: 222,540.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,587.96 : 398,243.76 = 161,264.60 : x
  2. Step 2: Convert to fraction form
    288,587.96/398,243.76 = 161,264.60/x
  3. Step 3: Cross multiply
    288,587.96x = 398,243.76 × 161,264.60
  4. Step 4: Simplify right side
    288,587.96x = 64,222,620,658.90
  5. Step 5: Solve for x
    x = 64,222,620,658.90/288,587.96
  6. Step 6: Final answer
    x = 222,540.89

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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.