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Finding the Fourth Proportional to 277,991.32, 417,011.46 and 78,313.36

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Solution

The fourth proportional to 277,991.32, 417,011.46 and 78,313.36 is: 117,476.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,991.32 : 417,011.46 = 78,313.36 : x
  2. Step 2: Convert to fraction form
    277,991.32/417,011.46 = 78,313.36/x
  3. Step 3: Cross multiply
    277,991.32x = 417,011.46 × 78,313.36
  4. Step 4: Simplify right side
    277,991.32x = 32,657,568,591.11
  5. Step 5: Solve for x
    x = 32,657,568,591.11/277,991.32
  6. Step 6: Final answer
    x = 117,476.94

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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.