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Finding the Fourth Proportional to 664,135.50, 996,300.45 and 214,707

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Solution

The fourth proportional to 664,135.50, 996,300.45 and 214,707 is: 322,091.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,135.50 : 996,300.45 = 214,707 : x
  2. Step 2: Convert to fraction form
    664,135.50/996,300.45 = 214,707/x
  3. Step 3: Cross multiply
    664,135.50x = 996,300.45 × 214,707
  4. Step 4: Simplify right side
    664,135.50x = 213,912,680,718.15
  5. Step 5: Solve for x
    x = 213,912,680,718.15/664,135.50
  6. Step 6: Final answer
    x = 322,091.92

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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.