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Finding the Fourth Proportional to 277,305.52, 415,958.28 and 90,317.02

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Solution

The fourth proportional to 277,305.52, 415,958.28 and 90,317.02 is: 135,475.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,305.52 : 415,958.28 = 90,317.02 : x
  2. Step 2: Convert to fraction form
    277,305.52/415,958.28 = 90,317.02/x
  3. Step 3: Cross multiply
    277,305.52x = 415,958.28 × 90,317.02
  4. Step 4: Simplify right side
    277,305.52x = 37,568,112,293.93
  5. Step 5: Solve for x
    x = 37,568,112,293.93/277,305.52
  6. Step 6: Final answer
    x = 135,475.53

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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.