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Finding the Fourth Proportional to 277,306.56, 415,959.82 and 90,318.06

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Solution

The fourth proportional to 277,306.56, 415,959.82 and 90,318.06 is: 135,477.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,306.56 : 415,959.82 = 90,318.06 : x
  2. Step 2: Convert to fraction form
    277,306.56/415,959.82 = 90,318.06/x
  3. Step 3: Cross multiply
    277,306.56x = 415,959.82 × 90,318.06
  4. Step 4: Simplify right side
    277,306.56x = 37,568,683,754.55
  5. Step 5: Solve for x
    x = 37,568,683,754.55/277,306.56
  6. Step 6: Final answer
    x = 135,477.08

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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.