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Finding the Fourth Proportional to 277,279.15, 415,918.79 and 77,628.95

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Solution

The fourth proportional to 277,279.15, 415,918.79 and 77,628.95 is: 116,443.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,279.15 : 415,918.79 = 77,628.95 : x
  2. Step 2: Convert to fraction form
    277,279.15/415,918.79 = 77,628.95/x
  3. Step 3: Cross multiply
    277,279.15x = 415,918.79 × 77,628.95
  4. Step 4: Simplify right side
    277,279.15x = 32,287,337,067.45
  5. Step 5: Solve for x
    x = 32,287,337,067.45/277,279.15
  6. Step 6: Final answer
    x = 116,443.44

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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.