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Finding the Fourth Proportional to 665,493.98, 998,906.80 and 310,757.72

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Solution

The fourth proportional to 665,493.98, 998,906.80 and 310,757.72 is: 466,447.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,493.98 : 998,906.80 = 310,757.72 : x
  2. Step 2: Convert to fraction form
    665,493.98/998,906.80 = 310,757.72/x
  3. Step 3: Cross multiply
    665,493.98x = 998,906.80 × 310,757.72
  4. Step 4: Simplify right side
    665,493.98x = 310,417,999,660.50
  5. Step 5: Solve for x
    x = 310,417,999,660.50/665,493.98
  6. Step 6: Final answer
    x = 466,447.49

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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.