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Finding the Fourth Proportional to 288,587.61, 398,250.27 and 161,263.20

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Solution

The fourth proportional to 288,587.61, 398,250.27 and 161,263.20 is: 222,542.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,587.61 : 398,250.27 = 161,263.20 : x
  2. Step 2: Convert to fraction form
    288,587.61/398,250.27 = 161,263.20/x
  3. Step 3: Cross multiply
    288,587.61x = 398,250.27 × 161,263.20
  4. Step 4: Simplify right side
    288,587.61x = 64,223,114,434.50
  5. Step 5: Solve for x
    x = 64,223,114,434.50/288,587.61
  6. Step 6: Final answer
    x = 222,542.87

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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.