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Finding the Fourth Proportional to 550,634.72, 826,253 and 213,688.64

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Solution

The fourth proportional to 550,634.72, 826,253 and 213,688.64 is: 320,649.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,634.72 : 826,253 = 213,688.64 : x
  2. Step 2: Convert to fraction form
    550,634.72/826,253 = 213,688.64/x
  3. Step 3: Cross multiply
    550,634.72x = 826,253 × 213,688.64
  4. Step 4: Simplify right side
    550,634.72x = 176,560,879,865.92
  5. Step 5: Solve for x
    x = 176,560,879,865.92/550,634.72
  6. Step 6: Final answer
    x = 320,649.74

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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.