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Finding the Fourth Proportional to 522,048, 783,072 and 226,560

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Solution

The fourth proportional to 522,048, 783,072 and 226,560 is: 339,840

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,048 : 783,072 = 226,560 : x
  2. Step 2: Convert to fraction form
    522,048/783,072 = 226,560/x
  3. Step 3: Cross multiply
    522,048x = 783,072 × 226,560
  4. Step 4: Simplify right side
    522,048x = 177,412,792,320
  5. Step 5: Solve for x
    x = 177,412,792,320/522,048
  6. Step 6: Final answer
    x = 339,840

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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.