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Finding the Fourth Proportional to 264,432, 396,648 and 67,440

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Solution

The fourth proportional to 264,432, 396,648 and 67,440 is: 101,160

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,432 : 396,648 = 67,440 : x
  2. Step 2: Convert to fraction form
    264,432/396,648 = 67,440/x
  3. Step 3: Cross multiply
    264,432x = 396,648 × 67,440
  4. Step 4: Simplify right side
    264,432x = 26,749,941,120
  5. Step 5: Solve for x
    x = 26,749,941,120/264,432
  6. Step 6: Final answer
    x = 101,160

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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.