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Finding the Fourth Proportional to 261,360, 392,040 and 113,616

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Solution

The fourth proportional to 261,360, 392,040 and 113,616 is: 170,424

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,360 : 392,040 = 113,616 : x
  2. Step 2: Convert to fraction form
    261,360/392,040 = 113,616/x
  3. Step 3: Cross multiply
    261,360x = 392,040 × 113,616
  4. Step 4: Simplify right side
    261,360x = 44,542,016,640
  5. Step 5: Solve for x
    x = 44,542,016,640/261,360
  6. Step 6: Final answer
    x = 170,424

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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.