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Finding the Fourth Proportional to 408,013.20, 611,422.20 and 365,893.20

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Solution

The fourth proportional to 408,013.20, 611,422.20 and 365,893.20 is: 548,303.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,013.20 : 611,422.20 = 365,893.20 : x
  2. Step 2: Convert to fraction form
    408,013.20/611,422.20 = 365,893.20/x
  3. Step 3: Cross multiply
    408,013.20x = 611,422.20 × 365,893.20
  4. Step 4: Simplify right side
    408,013.20x = 223,715,225,309.04
  5. Step 5: Solve for x
    x = 223,715,225,309.04/408,013.20
  6. Step 6: Final answer
    x = 548,303.89

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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.