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Finding the Fourth Proportional to 273,005.80, 409,815.90 and 210,951.40

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Solution

The fourth proportional to 273,005.80, 409,815.90 and 210,951.40 is: 316,664.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,005.80 : 409,815.90 = 210,951.40 : x
  2. Step 2: Convert to fraction form
    273,005.80/409,815.90 = 210,951.40/x
  3. Step 3: Cross multiply
    273,005.80x = 409,815.90 × 210,951.40
  4. Step 4: Simplify right side
    273,005.80x = 86,451,237,847.26
  5. Step 5: Solve for x
    x = 86,451,237,847.26/273,005.80
  6. Step 6: Final answer
    x = 316,664.47

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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.