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Finding the Fourth Proportional to 408,014.20, 611,292.30 and 197,187.40

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Solution

The fourth proportional to 408,014.20, 611,292.30 and 197,187.40 is: 295,428.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,014.20 : 611,292.30 = 197,187.40 : x
  2. Step 2: Convert to fraction form
    408,014.20/611,292.30 = 197,187.40/x
  3. Step 3: Cross multiply
    408,014.20x = 611,292.30 × 197,187.40
  4. Step 4: Simplify right side
    408,014.20x = 120,539,139,277.02
  5. Step 5: Solve for x
    x = 120,539,139,277.02/408,014.20
  6. Step 6: Final answer
    x = 295,428.78

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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.