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Finding the Fourth Proportional to 408,129.20, 611,596.20 and 366,009.20

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Solution

The fourth proportional to 408,129.20, 611,596.20 and 366,009.20 is: 548,477.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,129.20 : 611,596.20 = 366,009.20 : x
  2. Step 2: Convert to fraction form
    408,129.20/611,596.20 = 366,009.20/x
  3. Step 3: Cross multiply
    408,129.20x = 611,596.20 × 366,009.20
  4. Step 4: Simplify right side
    408,129.20x = 223,849,835,885.04
  5. Step 5: Solve for x
    x = 223,849,835,885.04/408,129.20
  6. Step 6: Final answer
    x = 548,477.87

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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.