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Finding the Fourth Proportional to 269,458.40, 405,062.40 and 191,115.20

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Solution

The fourth proportional to 269,458.40, 405,062.40 and 191,115.20 is: 287,293.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,458.40 : 405,062.40 = 191,115.20 : x
  2. Step 2: Convert to fraction form
    269,458.40/405,062.40 = 191,115.20/x
  3. Step 3: Cross multiply
    269,458.40x = 405,062.40 × 191,115.20
  4. Step 4: Simplify right side
    269,458.40x = 77,413,581,588.48
  5. Step 5: Solve for x
    x = 77,413,581,588.48/269,458.40
  6. Step 6: Final answer
    x = 287,293.26

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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.