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Finding the Fourth Proportional to 277,295.80, 415,943.80 and 77,645.64

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Solution

The fourth proportional to 277,295.80, 415,943.80 and 77,645.64 is: 116,468.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,295.80 : 415,943.80 = 77,645.64 : x
  2. Step 2: Convert to fraction form
    277,295.80/415,943.80 = 77,645.64/x
  3. Step 3: Cross multiply
    277,295.80x = 415,943.80 × 77,645.64
  4. Step 4: Simplify right side
    277,295.80x = 32,296,222,555.03
  5. Step 5: Solve for x
    x = 32,296,222,555.03/277,295.80
  6. Step 6: Final answer
    x = 116,468.49

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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.