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Finding the Fourth Proportional to 343,385.38, 515,226.08 and 185,724.82

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Solution

The fourth proportional to 343,385.38, 515,226.08 and 185,724.82 is: 278,667.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,385.38 : 515,226.08 = 185,724.82 : x
  2. Step 2: Convert to fraction form
    343,385.38/515,226.08 = 185,724.82/x
  3. Step 3: Cross multiply
    343,385.38x = 515,226.08 × 185,724.82
  4. Step 4: Simplify right side
    343,385.38x = 95,690,270,967.31
  5. Step 5: Solve for x
    x = 95,690,270,967.31/343,385.38
  6. Step 6: Final answer
    x = 278,667.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.