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Finding the Fourth Proportional to 240,642, 360,963 and 65,538

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Solution

The fourth proportional to 240,642, 360,963 and 65,538 is: 98,307

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,642 : 360,963 = 65,538 : x
  2. Step 2: Convert to fraction form
    240,642/360,963 = 65,538/x
  3. Step 3: Cross multiply
    240,642x = 360,963 × 65,538
  4. Step 4: Simplify right side
    240,642x = 23,656,793,094
  5. Step 5: Solve for x
    x = 23,656,793,094/240,642
  6. Step 6: Final answer
    x = 98,307

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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.