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Finding the Fourth Proportional to 574,105, 861,364.86 and 180,121

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Solution

The fourth proportional to 574,105, 861,364.86 and 180,121 is: 270,246.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,105 : 861,364.86 = 180,121 : x
  2. Step 2: Convert to fraction form
    574,105/861,364.86 = 180,121/x
  3. Step 3: Cross multiply
    574,105x = 861,364.86 × 180,121
  4. Step 4: Simplify right side
    574,105x = 155,149,899,948.06
  5. Step 5: Solve for x
    x = 155,149,899,948.06/574,105
  6. Step 6: Final answer
    x = 270,246.56

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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.