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Finding the Fourth Proportional to 408,036.20, 611,325.30 and 197,209.40

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Solution

The fourth proportional to 408,036.20, 611,325.30 and 197,209.40 is: 295,461.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,036.20 : 611,325.30 = 197,209.40 : x
  2. Step 2: Convert to fraction form
    408,036.20/611,325.30 = 197,209.40/x
  3. Step 3: Cross multiply
    408,036.20x = 611,325.30 × 197,209.40
  4. Step 4: Simplify right side
    408,036.20x = 120,559,095,617.82
  5. Step 5: Solve for x
    x = 120,559,095,617.82/408,036.20
  6. Step 6: Final answer
    x = 295,461.76

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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.