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Finding the Fourth Proportional to 392,396.40, 587,428.20 and 259,426.80

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Solution

The fourth proportional to 392,396.40, 587,428.20 and 259,426.80 is: 388,369.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,396.40 : 587,428.20 = 259,426.80 : x
  2. Step 2: Convert to fraction form
    392,396.40/587,428.20 = 259,426.80/x
  3. Step 3: Cross multiply
    392,396.40x = 587,428.20 × 259,426.80
  4. Step 4: Simplify right side
    392,396.40x = 152,394,618,155.76
  5. Step 5: Solve for x
    x = 152,394,618,155.76/392,396.40
  6. Step 6: Final answer
    x = 388,369.05

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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.