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Finding the Fourth Proportional to 408,429.95, 612,564.17 and 388,176.43

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Solution

The fourth proportional to 408,429.95, 612,564.17 and 388,176.43 is: 582,187.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,429.95 : 612,564.17 = 388,176.43 : x
  2. Step 2: Convert to fraction form
    408,429.95/612,564.17 = 388,176.43/x
  3. Step 3: Cross multiply
    408,429.95x = 612,564.17 × 388,176.43
  4. Step 4: Simplify right side
    408,429.95x = 237,782,972,247.04
  5. Step 5: Solve for x
    x = 237,782,972,247.04/408,429.95
  6. Step 6: Final answer
    x = 582,187.89

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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.