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Finding the Fourth Proportional to 398,540.68, 597,927.48 and 128,662.48

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Solution

The fourth proportional to 398,540.68, 597,927.48 and 128,662.48 is: 193,031.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,540.68 : 597,927.48 = 128,662.48 : x
  2. Step 2: Convert to fraction form
    398,540.68/597,927.48 = 128,662.48/x
  3. Step 3: Cross multiply
    398,540.68x = 597,927.48 × 128,662.48
  4. Step 4: Simplify right side
    398,540.68x = 76,930,832,436.95
  5. Step 5: Solve for x
    x = 76,930,832,436.95/398,540.68
  6. Step 6: Final answer
    x = 193,031.32

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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.