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Finding the Fourth Proportional to 245,724.59, 339,204.53 and 165,198.78

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Solution

The fourth proportional to 245,724.59, 339,204.53 and 165,198.78 is: 228,044.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,724.59 : 339,204.53 = 165,198.78 : x
  2. Step 2: Convert to fraction form
    245,724.59/339,204.53 = 165,198.78/x
  3. Step 3: Cross multiply
    245,724.59x = 339,204.53 × 165,198.78
  4. Step 4: Simplify right side
    245,724.59x = 56,036,173,700.48
  5. Step 5: Solve for x
    x = 56,036,173,700.48/245,724.59
  6. Step 6: Final answer
    x = 228,044.64

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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.