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Finding the Fourth Proportional to 392,712.71, 589,057.32 and 108,420.62

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Solution

The fourth proportional to 392,712.71, 589,057.32 and 108,420.62 is: 162,627.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,712.71 : 589,057.32 = 108,420.62 : x
  2. Step 2: Convert to fraction form
    392,712.71/589,057.32 = 108,420.62/x
  3. Step 3: Cross multiply
    392,712.71x = 589,057.32 × 108,420.62
  4. Step 4: Simplify right side
    392,712.71x = 63,865,957,311.23
  5. Step 5: Solve for x
    x = 63,865,957,311.23/392,712.71
  6. Step 6: Final answer
    x = 162,627.68

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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.