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Finding the Fourth Proportional to 392,906.61, 589,772.19 and 348,213.90

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Solution

The fourth proportional to 392,906.61, 589,772.19 and 348,213.90 is: 522,686.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,906.61 : 589,772.19 = 348,213.90 : x
  2. Step 2: Convert to fraction form
    392,906.61/589,772.19 = 348,213.90/x
  3. Step 3: Cross multiply
    392,906.61x = 589,772.19 × 348,213.90
  4. Step 4: Simplify right side
    392,906.61x = 205,366,874,391.44
  5. Step 5: Solve for x
    x = 205,366,874,391.44/392,906.61
  6. Step 6: Final answer
    x = 522,686.23

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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.