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Finding the Fourth Proportional to 329,420, 494,086.32 and 92,781.28

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Solution

The fourth proportional to 329,420, 494,086.32 and 92,781.28 is: 139,159.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,420 : 494,086.32 = 92,781.28 : x
  2. Step 2: Convert to fraction form
    329,420/494,086.32 = 92,781.28/x
  3. Step 3: Cross multiply
    329,420x = 494,086.32 × 92,781.28
  4. Step 4: Simplify right side
    329,420x = 45,841,961,200.09
  5. Step 5: Solve for x
    x = 45,841,961,200.09/329,420
  6. Step 6: Final answer
    x = 139,159.62

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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.