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Finding the Fourth Proportional to 240,640, 360,960 and 65,536

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Solution

The fourth proportional to 240,640, 360,960 and 65,536 is: 98,304

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,640 : 360,960 = 65,536 : x
  2. Step 2: Convert to fraction form
    240,640/360,960 = 65,536/x
  3. Step 3: Cross multiply
    240,640x = 360,960 × 65,536
  4. Step 4: Simplify right side
    240,640x = 23,655,874,560
  5. Step 5: Solve for x
    x = 23,655,874,560/240,640
  6. Step 6: Final answer
    x = 98,304

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.