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Finding the Fourth Proportional to 388,052.57, 582,454.24 and 280,093.24

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Solution

The fourth proportional to 388,052.57, 582,454.24 and 280,093.24 is: 420,410.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,052.57 : 582,454.24 = 280,093.24 : x
  2. Step 2: Convert to fraction form
    388,052.57/582,454.24 = 280,093.24/x
  3. Step 3: Cross multiply
    388,052.57x = 582,454.24 × 280,093.24
  4. Step 4: Simplify right side
    388,052.57x = 163,141,495,233.34
  5. Step 5: Solve for x
    x = 163,141,495,233.34/388,052.57
  6. Step 6: Final answer
    x = 420,410.81

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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.