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Finding the Fourth Proportional to 408,490.80, 613,235.40 and 231,121.20

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Solution

The fourth proportional to 408,490.80, 613,235.40 and 231,121.20 is: 346,964.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,490.80 : 613,235.40 = 231,121.20 : x
  2. Step 2: Convert to fraction form
    408,490.80/613,235.40 = 231,121.20/x
  3. Step 3: Cross multiply
    408,490.80x = 613,235.40 × 231,121.20
  4. Step 4: Simplify right side
    408,490.80x = 141,731,701,530.48
  5. Step 5: Solve for x
    x = 141,731,701,530.48/408,490.80
  6. Step 6: Final answer
    x = 346,964.24

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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.