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Finding the Fourth Proportional to 613,761.51, 921,035.49 and 298,046.19

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Solution

The fourth proportional to 613,761.51, 921,035.49 and 298,046.19 is: 447,260.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,761.51 : 921,035.49 = 298,046.19 : x
  2. Step 2: Convert to fraction form
    613,761.51/921,035.49 = 298,046.19/x
  3. Step 3: Cross multiply
    613,761.51x = 921,035.49 × 298,046.19
  4. Step 4: Simplify right side
    613,761.51x = 274,511,118,649.28
  5. Step 5: Solve for x
    x = 274,511,118,649.28/613,761.51
  6. Step 6: Final answer
    x = 447,260.24

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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.