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Finding the Fourth Proportional to 277,991.82, 417,012.21 and 78,313.86

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Solution

The fourth proportional to 277,991.82, 417,012.21 and 78,313.86 is: 117,477.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,991.82 : 417,012.21 = 78,313.86 : x
  2. Step 2: Convert to fraction form
    277,991.82/417,012.21 = 78,313.86/x
  3. Step 3: Cross multiply
    277,991.82x = 417,012.21 × 78,313.86
  4. Step 4: Simplify right side
    277,991.82x = 32,657,835,832.23
  5. Step 5: Solve for x
    x = 32,657,835,832.23/277,991.82
  6. Step 6: Final answer
    x = 117,477.69

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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.