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Finding the Fourth Proportional to 314,104.86, 471,149.94 and 100,872.36

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Solution

The fourth proportional to 314,104.86, 471,149.94 and 100,872.36 is: 151,306.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,104.86 : 471,149.94 = 100,872.36 : x
  2. Step 2: Convert to fraction form
    314,104.86/471,149.94 = 100,872.36/x
  3. Step 3: Cross multiply
    314,104.86x = 471,149.94 × 100,872.36
  4. Step 4: Simplify right side
    314,104.86x = 47,526,006,361.66
  5. Step 5: Solve for x
    x = 47,526,006,361.66/314,104.86
  6. Step 6: Final answer
    x = 151,306.18

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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.