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Finding the Fourth Proportional to 277,208, 415,837.92 and 90,169.28

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Solution

The fourth proportional to 277,208, 415,837.92 and 90,169.28 is: 135,262.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,208 : 415,837.92 = 90,169.28 : x
  2. Step 2: Convert to fraction form
    277,208/415,837.92 = 90,169.28/x
  3. Step 3: Cross multiply
    277,208x = 415,837.92 × 90,169.28
  4. Step 4: Simplify right side
    277,208x = 37,495,805,843.10
  5. Step 5: Solve for x
    x = 37,495,805,843.10/277,208
  6. Step 6: Final answer
    x = 135,262.35

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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.