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Finding the Fourth Proportional to 278,505.81, 417,774.96 and 78,809.49

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Solution

The fourth proportional to 278,505.81, 417,774.96 and 78,809.49 is: 118,218.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,505.81 : 417,774.96 = 78,809.49 : x
  2. Step 2: Convert to fraction form
    278,505.81/417,774.96 = 78,809.49/x
  3. Step 3: Cross multiply
    278,505.81x = 417,774.96 × 78,809.49
  4. Step 4: Simplify right side
    278,505.81x = 32,924,631,532.37
  5. Step 5: Solve for x
    x = 32,924,631,532.37/278,505.81
  6. Step 6: Final answer
    x = 118,218.83

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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.