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Finding the Fourth Proportional to 392,999.60, 589,623.95 and 140,274.49

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Solution

The fourth proportional to 392,999.60, 589,623.95 and 140,274.49 is: 210,456.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,999.60 : 589,623.95 = 140,274.49 : x
  2. Step 2: Convert to fraction form
    392,999.60/589,623.95 = 140,274.49/x
  3. Step 3: Cross multiply
    392,999.60x = 589,623.95 × 140,274.49
  4. Step 4: Simplify right side
    392,999.60x = 82,709,198,878.04
  5. Step 5: Solve for x
    x = 82,709,198,878.04/392,999.60
  6. Step 6: Final answer
    x = 210,456.19

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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.