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Finding the Fourth Proportional to 392,428.70, 588,643.05 and 192,877.10

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Solution

The fourth proportional to 392,428.70, 588,643.05 and 192,877.10 is: 289,315.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,428.70 : 588,643.05 = 192,877.10 : x
  2. Step 2: Convert to fraction form
    392,428.70/588,643.05 = 192,877.10/x
  3. Step 3: Cross multiply
    392,428.70x = 588,643.05 × 192,877.10
  4. Step 4: Simplify right side
    392,428.70x = 113,535,764,419.16
  5. Step 5: Solve for x
    x = 113,535,764,419.16/392,428.70
  6. Step 6: Final answer
    x = 289,315.65

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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.