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Finding the Fourth Proportional to 270,349.38, 405,285.41 and 101,987.94

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Solution

The fourth proportional to 270,349.38, 405,285.41 and 101,987.94 is: 152,891.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,349.38 : 405,285.41 = 101,987.94 : x
  2. Step 2: Convert to fraction form
    270,349.38/405,285.41 = 101,987.94/x
  3. Step 3: Cross multiply
    270,349.38x = 405,285.41 × 101,987.94
  4. Step 4: Simplify right side
    270,349.38x = 41,334,223,573.02
  5. Step 5: Solve for x
    x = 41,334,223,573.02/270,349.38
  6. Step 6: Final answer
    x = 152,891.87

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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.