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Finding the Fourth Proportional to 489,023.20, 733,534.80 and 388,639.90

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Solution

The fourth proportional to 489,023.20, 733,534.80 and 388,639.90 is: 582,959.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,023.20 : 733,534.80 = 388,639.90 : x
  2. Step 2: Convert to fraction form
    489,023.20/733,534.80 = 388,639.90/x
  3. Step 3: Cross multiply
    489,023.20x = 733,534.80 × 388,639.90
  4. Step 4: Simplify right side
    489,023.20x = 285,080,891,318.52
  5. Step 5: Solve for x
    x = 285,080,891,318.52/489,023.20
  6. Step 6: Final answer
    x = 582,959.85

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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.