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Finding the Fourth Proportional to 277,118.64, 415,668.24 and 77,437.44

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Solution

The fourth proportional to 277,118.64, 415,668.24 and 77,437.44 is: 116,153.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,118.64 : 415,668.24 = 77,437.44 : x
  2. Step 2: Convert to fraction form
    277,118.64/415,668.24 = 77,437.44/x
  3. Step 3: Cross multiply
    277,118.64x = 415,668.24 × 77,437.44
  4. Step 4: Simplify right side
    277,118.64x = 32,188,284,394.91
  5. Step 5: Solve for x
    x = 32,188,284,394.91/277,118.64
  6. Step 6: Final answer
    x = 116,153.44

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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.