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Finding the Fourth Proportional to 715,831, 1,073,752.98 and 217,195

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Solution

The fourth proportional to 715,831, 1,073,752.98 and 217,195 is: 325,794.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,831 : 1,073,752.98 = 217,195 : x
  2. Step 2: Convert to fraction form
    715,831/1,073,752.98 = 217,195/x
  3. Step 3: Cross multiply
    715,831x = 1,073,752.98 × 217,195
  4. Step 4: Simplify right side
    715,831x = 233,213,778,491.10
  5. Step 5: Solve for x
    x = 233,213,778,491.10/715,831
  6. Step 6: Final answer
    x = 325,794.47

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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.