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Finding the Fourth Proportional to 422,680.50, 583,358.76 and 261,587.46

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Solution

The fourth proportional to 422,680.50, 583,358.76 and 261,587.46 is: 361,027.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,680.50 : 583,358.76 = 261,587.46 : x
  2. Step 2: Convert to fraction form
    422,680.50/583,358.76 = 261,587.46/x
  3. Step 3: Cross multiply
    422,680.50x = 583,358.76 × 261,587.46
  4. Step 4: Simplify right side
    422,680.50x = 152,599,336,297.15
  5. Step 5: Solve for x
    x = 152,599,336,297.15/422,680.50
  6. Step 6: Final answer
    x = 361,027.62

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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.