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Finding the Fourth Proportional to 278,241.05, 417,368.77 and 75,838.82

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Solution

The fourth proportional to 278,241.05, 417,368.77 and 75,838.82 is: 113,760.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,241.05 : 417,368.77 = 75,838.82 : x
  2. Step 2: Convert to fraction form
    278,241.05/417,368.77 = 75,838.82/x
  3. Step 3: Cross multiply
    278,241.05x = 417,368.77 × 75,838.82
  4. Step 4: Simplify right side
    278,241.05x = 31,652,755,021.65
  5. Step 5: Solve for x
    x = 31,652,755,021.65/278,241.05
  6. Step 6: Final answer
    x = 113,760.19

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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.