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Finding the Fourth Proportional to 288,722.82, 398,439.09 and 161,403.78

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Solution

The fourth proportional to 288,722.82, 398,439.09 and 161,403.78 is: 222,738.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,722.82 : 398,439.09 = 161,403.78 : x
  2. Step 2: Convert to fraction form
    288,722.82/398,439.09 = 161,403.78/x
  3. Step 3: Cross multiply
    288,722.82x = 398,439.09 × 161,403.78
  4. Step 4: Simplify right side
    288,722.82x = 64,309,575,225.76
  5. Step 5: Solve for x
    x = 64,309,575,225.76/288,722.82
  6. Step 6: Final answer
    x = 222,738.11

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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.