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Finding the Fourth Proportional to 227,652, 341,478 and 61,440

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Solution

The fourth proportional to 227,652, 341,478 and 61,440 is: 92,160

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,652 : 341,478 = 61,440 : x
  2. Step 2: Convert to fraction form
    227,652/341,478 = 61,440/x
  3. Step 3: Cross multiply
    227,652x = 341,478 × 61,440
  4. Step 4: Simplify right side
    227,652x = 20,980,408,320
  5. Step 5: Solve for x
    x = 20,980,408,320/227,652
  6. Step 6: Final answer
    x = 92,160

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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.