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Finding the Fourth Proportional to 288,794.88, 398,535.84 and 161,470.08

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Solution

The fourth proportional to 288,794.88, 398,535.84 and 161,470.08 is: 222,828.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,794.88 : 398,535.84 = 161,470.08 : x
  2. Step 2: Convert to fraction form
    288,794.88/398,535.84 = 161,470.08/x
  3. Step 3: Cross multiply
    288,794.88x = 398,535.84 × 161,470.08
  4. Step 4: Simplify right side
    288,794.88x = 64,351,613,967.67
  5. Step 5: Solve for x
    x = 64,351,613,967.67/288,794.88
  6. Step 6: Final answer
    x = 222,828.10

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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.