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Finding the Fourth Proportional to 493,049.60, 741,224.32 and 389,121.28

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Solution

The fourth proportional to 493,049.60, 741,224.32 and 389,121.28 is: 584,984.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,049.60 : 741,224.32 = 389,121.28 : x
  2. Step 2: Convert to fraction form
    493,049.60/741,224.32 = 389,121.28/x
  3. Step 3: Cross multiply
    493,049.60x = 741,224.32 × 389,121.28
  4. Step 4: Simplify right side
    493,049.60x = 288,426,156,165.53
  5. Step 5: Solve for x
    x = 288,426,156,165.53/493,049.60
  6. Step 6: Final answer
    x = 584,984.06

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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.