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Finding the Fourth Proportional to 665,657.74, 998,735.94 and 345,609.82

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Solution

The fourth proportional to 665,657.74, 998,735.94 and 345,609.82 is: 518,544.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,657.74 : 998,735.94 = 345,609.82 : x
  2. Step 2: Convert to fraction form
    665,657.74/998,735.94 = 345,609.82/x
  3. Step 3: Cross multiply
    665,657.74x = 998,735.94 × 345,609.82
  4. Step 4: Simplify right side
    665,657.74x = 345,172,948,450.93
  5. Step 5: Solve for x
    x = 345,172,948,450.93/665,657.74
  6. Step 6: Final answer
    x = 518,544.18

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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.