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Finding the Fourth Proportional to 408,013.20, 611,290.80 and 197,186.40

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Solution

The fourth proportional to 408,013.20, 611,290.80 and 197,186.40 is: 295,427.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,013.20 : 611,290.80 = 197,186.40 : x
  2. Step 2: Convert to fraction form
    408,013.20/611,290.80 = 197,186.40/x
  3. Step 3: Cross multiply
    408,013.20x = 611,290.80 × 197,186.40
  4. Step 4: Simplify right side
    408,013.20x = 120,538,232,205.12
  5. Step 5: Solve for x
    x = 120,538,232,205.12/408,013.20
  6. Step 6: Final answer
    x = 295,427.29

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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.