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Finding the Fourth Proportional to 277,112.40, 415,668.60 and 99,625.20

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Solution

The fourth proportional to 277,112.40, 415,668.60 and 99,625.20 is: 149,437.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,112.40 : 415,668.60 = 99,625.20 : x
  2. Step 2: Convert to fraction form
    277,112.40/415,668.60 = 99,625.20/x
  3. Step 3: Cross multiply
    277,112.40x = 415,668.60 × 99,625.20
  4. Step 4: Simplify right side
    277,112.40x = 41,411,067,408.72
  5. Step 5: Solve for x
    x = 41,411,067,408.72/277,112.40
  6. Step 6: Final answer
    x = 149,437.80

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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.