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Finding the Fourth Proportional to 392,980, 541,068.96 and 357,062.56

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Solution

The fourth proportional to 392,980, 541,068.96 and 357,062.56 is: 491,616.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,980 : 541,068.96 = 357,062.56 : x
  2. Step 2: Convert to fraction form
    392,980/541,068.96 = 357,062.56/x
  3. Step 3: Cross multiply
    392,980x = 541,068.96 × 357,062.56
  4. Step 4: Simplify right side
    392,980x = 193,195,467,994.14
  5. Step 5: Solve for x
    x = 193,195,467,994.14/392,980
  6. Step 6: Final answer
    x = 491,616.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.