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Finding the Fourth Proportional to 356,078, 491,387.64 and 197,102

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Solution

The fourth proportional to 356,078, 491,387.64 and 197,102 is: 272,000.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,078 : 491,387.64 = 197,102 : x
  2. Step 2: Convert to fraction form
    356,078/491,387.64 = 197,102/x
  3. Step 3: Cross multiply
    356,078x = 491,387.64 × 197,102
  4. Step 4: Simplify right side
    356,078x = 96,853,486,619.28
  5. Step 5: Solve for x
    x = 96,853,486,619.28/356,078
  6. Step 6: Final answer
    x = 272,000.76

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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.