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Finding the Fourth Proportional to 316,010.82, 474,135.61 and 189,739.11

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Solution

The fourth proportional to 316,010.82, 474,135.61 and 189,739.11 is: 284,680.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,010.82 : 474,135.61 = 189,739.11 : x
  2. Step 2: Convert to fraction form
    316,010.82/474,135.61 = 189,739.11/x
  3. Step 3: Cross multiply
    316,010.82x = 474,135.61 × 189,739.11
  4. Step 4: Simplify right side
    316,010.82x = 89,962,067,653.12
  5. Step 5: Solve for x
    x = 89,962,067,653.12/316,010.82
  6. Step 6: Final answer
    x = 284,680.34

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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.