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Finding the Fourth Proportional to 310,728, 466,092 and 77,256

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Solution

The fourth proportional to 310,728, 466,092 and 77,256 is: 115,884

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,728 : 466,092 = 77,256 : x
  2. Step 2: Convert to fraction form
    310,728/466,092 = 77,256/x
  3. Step 3: Cross multiply
    310,728x = 466,092 × 77,256
  4. Step 4: Simplify right side
    310,728x = 36,008,403,552
  5. Step 5: Solve for x
    x = 36,008,403,552/310,728
  6. Step 6: Final answer
    x = 115,884

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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.