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Finding the Fourth Proportional to 311,232, 466,848 and 77,760

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Solution

The fourth proportional to 311,232, 466,848 and 77,760 is: 116,640

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,232 : 466,848 = 77,760 : x
  2. Step 2: Convert to fraction form
    311,232/466,848 = 77,760/x
  3. Step 3: Cross multiply
    311,232x = 466,848 × 77,760
  4. Step 4: Simplify right side
    311,232x = 36,302,100,480
  5. Step 5: Solve for x
    x = 36,302,100,480/311,232
  6. Step 6: Final answer
    x = 116,640

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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.