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Finding the Fourth Proportional to 388,051.57, 582,452.74 and 280,092.24

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Solution

The fourth proportional to 388,051.57, 582,452.74 and 280,092.24 is: 420,409.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,051.57 : 582,452.74 = 280,092.24 : x
  2. Step 2: Convert to fraction form
    388,051.57/582,452.74 = 280,092.24/x
  3. Step 3: Cross multiply
    388,051.57x = 582,452.74 × 280,092.24
  4. Step 4: Simplify right side
    388,051.57x = 163,140,489,728.47
  5. Step 5: Solve for x
    x = 163,140,489,728.47/388,051.57
  6. Step 6: Final answer
    x = 420,409.31

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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.