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Finding the Fourth Proportional to 398,864, 597,960.43 and 185,523.55

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Solution

The fourth proportional to 398,864, 597,960.43 and 185,523.55 is: 278,129.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,864 : 597,960.43 = 185,523.55 : x
  2. Step 2: Convert to fraction form
    398,864/597,960.43 = 185,523.55/x
  3. Step 3: Cross multiply
    398,864x = 597,960.43 × 185,523.55
  4. Step 4: Simplify right side
    398,864x = 110,935,741,733.13
  5. Step 5: Solve for x
    x = 110,935,741,733.13/398,864
  6. Step 6: Final answer
    x = 278,129.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.