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Finding the Fourth Proportional to 288,740.52, 398,474.28 and 161,416.08

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Solution

The fourth proportional to 288,740.52, 398,474.28 and 161,416.08 is: 222,761.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,740.52 : 398,474.28 = 161,416.08 : x
  2. Step 2: Convert to fraction form
    288,740.52/398,474.28 = 161,416.08/x
  3. Step 3: Cross multiply
    288,740.52x = 398,474.28 × 161,416.08
  4. Step 4: Simplify right side
    288,740.52x = 64,320,156,258.42
  5. Step 5: Solve for x
    x = 64,320,156,258.42/288,740.52
  6. Step 6: Final answer
    x = 222,761.10

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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.