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Finding the Fourth Proportional to 552,809.82, 829,212 and 215,884.70

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Solution

The fourth proportional to 552,809.82, 829,212 and 215,884.70 is: 323,825.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,809.82 : 829,212 = 215,884.70 : x
  2. Step 2: Convert to fraction form
    552,809.82/829,212 = 215,884.70/x
  3. Step 3: Cross multiply
    552,809.82x = 829,212 × 215,884.70
  4. Step 4: Simplify right side
    552,809.82x = 179,014,183,856.40
  5. Step 5: Solve for x
    x = 179,014,183,856.40/552,809.82
  6. Step 6: Final answer
    x = 323,825.98

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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.