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Finding the Fourth Proportional to 277,206.77, 415,456.64 and 135,085.97

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Solution

The fourth proportional to 277,206.77, 415,456.64 and 135,085.97 is: 202,456.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,206.77 : 415,456.64 = 135,085.97 : x
  2. Step 2: Convert to fraction form
    277,206.77/415,456.64 = 135,085.97/x
  3. Step 3: Cross multiply
    277,206.77x = 415,456.64 × 135,085.97
  4. Step 4: Simplify right side
    277,206.77x = 56,122,362,531.91
  5. Step 5: Solve for x
    x = 56,122,362,531.91/277,206.77
  6. Step 6: Final answer
    x = 202,456.68

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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.