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Finding the Fourth Proportional to 392,122.80, 588,767.40 and 303,476.40

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Solution

The fourth proportional to 392,122.80, 588,767.40 and 303,476.40 is: 455,665.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,122.80 : 588,767.40 = 303,476.40 : x
  2. Step 2: Convert to fraction form
    392,122.80/588,767.40 = 303,476.40/x
  3. Step 3: Cross multiply
    392,122.80x = 588,767.40 × 303,476.40
  4. Step 4: Simplify right side
    392,122.80x = 178,677,010,989.36
  5. Step 5: Solve for x
    x = 178,677,010,989.36/392,122.80
  6. Step 6: Final answer
    x = 455,665.96

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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.