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Finding the Fourth Proportional to 356,010, 491,295.24 and 197,034

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Solution

The fourth proportional to 356,010, 491,295.24 and 197,034 is: 271,907.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,010 : 491,295.24 = 197,034 : x
  2. Step 2: Convert to fraction form
    356,010/491,295.24 = 197,034/x
  3. Step 3: Cross multiply
    356,010x = 491,295.24 × 197,034
  4. Step 4: Simplify right side
    356,010x = 96,801,866,318.16
  5. Step 5: Solve for x
    x = 96,801,866,318.16/356,010
  6. Step 6: Final answer
    x = 271,907.72

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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.