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Finding the Fourth Proportional to 288,794.52, 398,549.10 and 161,470.20

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Solution

The fourth proportional to 288,794.52, 398,549.10 and 161,470.20 is: 222,835.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,794.52 : 398,549.10 = 161,470.20 : x
  2. Step 2: Convert to fraction form
    288,794.52/398,549.10 = 161,470.20/x
  3. Step 3: Cross multiply
    288,794.52x = 398,549.10 × 161,470.20
  4. Step 4: Simplify right side
    288,794.52x = 64,353,802,886.82
  5. Step 5: Solve for x
    x = 64,353,802,886.82/288,794.52
  6. Step 6: Final answer
    x = 222,835.96

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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.