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Finding the Fourth Proportional to 408,848.80, 613,273.20 and 320,178.10

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Solution

The fourth proportional to 408,848.80, 613,273.20 and 320,178.10 is: 480,267.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,848.80 : 613,273.20 = 320,178.10 : x
  2. Step 2: Convert to fraction form
    408,848.80/613,273.20 = 320,178.10/x
  3. Step 3: Cross multiply
    408,848.80x = 613,273.20 × 320,178.10
  4. Step 4: Simplify right side
    408,848.80x = 196,356,647,956.92
  5. Step 5: Solve for x
    x = 196,356,647,956.92/408,848.80
  6. Step 6: Final answer
    x = 480,267.15

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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.