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Finding the Fourth Proportional to 319,068, 440,319.33 and 206,087.58

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Solution

The fourth proportional to 319,068, 440,319.33 and 206,087.58 is: 284,404.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,068 : 440,319.33 = 206,087.58 : x
  2. Step 2: Convert to fraction form
    319,068/440,319.33 = 206,087.58/x
  3. Step 3: Cross multiply
    319,068x = 440,319.33 × 206,087.58
  4. Step 4: Simplify right side
    319,068x = 90,744,345,146.92
  5. Step 5: Solve for x
    x = 90,744,345,146.92/319,068
  6. Step 6: Final answer
    x = 284,404.41

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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.