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Finding the Fourth Proportional to 213,085.88, 317,882.32 and 207,293.97

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Solution

The fourth proportional to 213,085.88, 317,882.32 and 207,293.97 is: 309,241.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,085.88 : 317,882.32 = 207,293.97 : x
  2. Step 2: Convert to fraction form
    213,085.88/317,882.32 = 207,293.97/x
  3. Step 3: Cross multiply
    213,085.88x = 317,882.32 × 207,293.97
  4. Step 4: Simplify right side
    213,085.88x = 65,895,088,105.61
  5. Step 5: Solve for x
    x = 65,895,088,105.61/213,085.88
  6. Step 6: Final answer
    x = 309,241.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.