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Finding the Fourth Proportional to 313,240, 432,630.08 and 206,288

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Solution

The fourth proportional to 313,240, 432,630.08 and 206,288 is: 284,913.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,240 : 432,630.08 = 206,288 : x
  2. Step 2: Convert to fraction form
    313,240/432,630.08 = 206,288/x
  3. Step 3: Cross multiply
    313,240x = 432,630.08 × 206,288
  4. Step 4: Simplify right side
    313,240x = 89,246,393,943.04
  5. Step 5: Solve for x
    x = 89,246,393,943.04/313,240
  6. Step 6: Final answer
    x = 284,913.78

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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.