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Finding the Fourth Proportional to 408,452.83, 612,598.26 and 388,199.23

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Solution

The fourth proportional to 408,452.83, 612,598.26 and 388,199.23 is: 582,221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,452.83 : 612,598.26 = 388,199.23 : x
  2. Step 2: Convert to fraction form
    408,452.83/612,598.26 = 388,199.23/x
  3. Step 3: Cross multiply
    408,452.83x = 612,598.26 × 388,199.23
  4. Step 4: Simplify right side
    408,452.83x = 237,810,172,831.34
  5. Step 5: Solve for x
    x = 237,810,172,831.34/408,452.83
  6. Step 6: Final answer
    x = 582,221.88

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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.