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Finding the Fourth Proportional to 392,406.40, 587,443.20 and 259,436.80

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Solution

The fourth proportional to 392,406.40, 587,443.20 and 259,436.80 is: 388,384.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,406.40 : 587,443.20 = 259,436.80 : x
  2. Step 2: Convert to fraction form
    392,406.40/587,443.20 = 259,436.80/x
  3. Step 3: Cross multiply
    392,406.40x = 587,443.20 × 259,436.80
  4. Step 4: Simplify right side
    392,406.40x = 152,404,383,989.76
  5. Step 5: Solve for x
    x = 152,404,383,989.76/392,406.40
  6. Step 6: Final answer
    x = 388,384.04

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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.