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Finding the Fourth Proportional to 319,063.50, 440,313.12 and 206,083.08

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Solution

The fourth proportional to 319,063.50, 440,313.12 and 206,083.08 is: 284,398.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,063.50 : 440,313.12 = 206,083.08 : x
  2. Step 2: Convert to fraction form
    319,063.50/440,313.12 = 206,083.08/x
  3. Step 3: Cross multiply
    319,063.50x = 440,313.12 × 206,083.08
  4. Step 4: Simplify right side
    319,063.50x = 90,741,083,934.01
  5. Step 5: Solve for x
    x = 90,741,083,934.01/319,063.50
  6. Step 6: Final answer
    x = 284,398.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.