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Finding the Fourth Proportional to 408,031.20, 611,317.80 and 197,204.40

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Solution

The fourth proportional to 408,031.20, 611,317.80 and 197,204.40 is: 295,454.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,031.20 : 611,317.80 = 197,204.40 : x
  2. Step 2: Convert to fraction form
    408,031.20/611,317.80 = 197,204.40/x
  3. Step 3: Cross multiply
    408,031.20x = 611,317.80 × 197,204.40
  4. Step 4: Simplify right side
    408,031.20x = 120,554,559,958.32
  5. Step 5: Solve for x
    x = 120,554,559,958.32/408,031.20
  6. Step 6: Final answer
    x = 295,454.27

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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.