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Finding the Fourth Proportional to 288,588.74, 398,251.80 and 161,264.34

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Solution

The fourth proportional to 288,588.74, 398,251.80 and 161,264.34 is: 222,544.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,588.74 : 398,251.80 = 161,264.34 : x
  2. Step 2: Convert to fraction form
    288,588.74/398,251.80 = 161,264.34/x
  3. Step 3: Cross multiply
    288,588.74x = 398,251.80 × 161,264.34
  4. Step 4: Simplify right side
    288,588.74x = 64,223,813,680.81
  5. Step 5: Solve for x
    x = 64,223,813,680.81/288,588.74
  6. Step 6: Final answer
    x = 222,544.42

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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.