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Finding the Fourth Proportional to 206,873.10, 310,309.65 and 146,511.90

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Solution

The fourth proportional to 206,873.10, 310,309.65 and 146,511.90 is: 219,767.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,873.10 : 310,309.65 = 146,511.90 : x
  2. Step 2: Convert to fraction form
    206,873.10/310,309.65 = 146,511.90/x
  3. Step 3: Cross multiply
    206,873.10x = 310,309.65 × 146,511.90
  4. Step 4: Simplify right side
    206,873.10x = 45,464,056,409.84
  5. Step 5: Solve for x
    x = 45,464,056,409.84/206,873.10
  6. Step 6: Final answer
    x = 219,767.85

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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.