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Finding the Fourth Proportional to 277,306.52, 415,959.78 and 90,318.02

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Solution

The fourth proportional to 277,306.52, 415,959.78 and 90,318.02 is: 135,477.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,306.52 : 415,959.78 = 90,318.02 : x
  2. Step 2: Convert to fraction form
    277,306.52/415,959.78 = 90,318.02/x
  3. Step 3: Cross multiply
    277,306.52x = 415,959.78 × 90,318.02
  4. Step 4: Simplify right side
    277,306.52x = 37,568,663,729.24
  5. Step 5: Solve for x
    x = 37,568,663,729.24/277,306.52
  6. Step 6: Final answer
    x = 135,477.03

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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.