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Finding the Fourth Proportional to 309,703.78, 427,449.56 and 202,086.98

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Solution

The fourth proportional to 309,703.78, 427,449.56 and 202,086.98 is: 278,918.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,703.78 : 427,449.56 = 202,086.98 : x
  2. Step 2: Convert to fraction form
    309,703.78/427,449.56 = 202,086.98/x
  3. Step 3: Cross multiply
    309,703.78x = 427,449.56 × 202,086.98
  4. Step 4: Simplify right side
    309,703.78x = 86,381,990,682.73
  5. Step 5: Solve for x
    x = 86,381,990,682.73/309,703.78
  6. Step 6: Final answer
    x = 278,918.10

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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.