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Finding the Fourth Proportional to 665,665.68, 998,747.94 and 345,617.76

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Solution

The fourth proportional to 665,665.68, 998,747.94 and 345,617.76 is: 518,556.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,665.68 : 998,747.94 = 345,617.76 : x
  2. Step 2: Convert to fraction form
    665,665.68/998,747.94 = 345,617.76/x
  3. Step 3: Cross multiply
    665,665.68x = 998,747.94 × 345,617.76
  4. Step 4: Simplify right side
    665,665.68x = 345,185,025,827.41
  5. Step 5: Solve for x
    x = 345,185,025,827.41/665,665.68
  6. Step 6: Final answer
    x = 518,556.14

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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.