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Finding the Fourth Proportional to 561,705.08, 842,474.54 and 206,636.05

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Solution

The fourth proportional to 561,705.08, 842,474.54 and 206,636.05 is: 309,923.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,705.08 : 842,474.54 = 206,636.05 : x
  2. Step 2: Convert to fraction form
    561,705.08/842,474.54 = 206,636.05/x
  3. Step 3: Cross multiply
    561,705.08x = 842,474.54 × 206,636.05
  4. Step 4: Simplify right side
    561,705.08x = 174,085,609,581.57
  5. Step 5: Solve for x
    x = 174,085,609,581.57/561,705.08
  6. Step 6: Final answer
    x = 309,923.51

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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.