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Finding the Fourth Proportional to 388,943.40, 582,119.10 and 282,023.40

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Solution

The fourth proportional to 388,943.40, 582,119.10 and 282,023.40 is: 422,095.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,943.40 : 582,119.10 = 282,023.40 : x
  2. Step 2: Convert to fraction form
    388,943.40/582,119.10 = 282,023.40/x
  3. Step 3: Cross multiply
    388,943.40x = 582,119.10 × 282,023.40
  4. Step 4: Simplify right side
    388,943.40x = 164,171,207,786.94
  5. Step 5: Solve for x
    x = 164,171,207,786.94/388,943.40
  6. Step 6: Final answer
    x = 422,095.37

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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.