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Finding the Fourth Proportional to 278,494.57, 417,763.93 and 78,816.21

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Solution

The fourth proportional to 278,494.57, 417,763.93 and 78,816.21 is: 118,230.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,494.57 : 417,763.93 = 78,816.21 : x
  2. Step 2: Convert to fraction form
    278,494.57/417,763.93 = 78,816.21/x
  3. Step 3: Cross multiply
    278,494.57x = 417,763.93 × 78,816.21
  4. Step 4: Simplify right side
    278,494.57x = 32,926,569,637.31
  5. Step 5: Solve for x
    x = 32,926,569,637.31/278,494.57
  6. Step 6: Final answer
    x = 118,230.56

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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.