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Finding the Fourth Proportional to 206,951.05, 310,643.75 and 183,409.21

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Solution

The fourth proportional to 206,951.05, 310,643.75 and 183,409.21 is: 275,306.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,951.05 : 310,643.75 = 183,409.21 : x
  2. Step 2: Convert to fraction form
    206,951.05/310,643.75 = 183,409.21/x
  3. Step 3: Cross multiply
    206,951.05x = 310,643.75 × 183,409.21
  4. Step 4: Simplify right side
    206,951.05x = 56,974,924,778.94
  5. Step 5: Solve for x
    x = 56,974,924,778.94/206,951.05
  6. Step 6: Final answer
    x = 275,306.29

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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.