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Finding the Fourth Proportional to 278,573.80, 417,863.10 and 78,898.60

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Solution

The fourth proportional to 278,573.80, 417,863.10 and 78,898.60 is: 118,348.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,573.80 : 417,863.10 = 78,898.60 : x
  2. Step 2: Convert to fraction form
    278,573.80/417,863.10 = 78,898.60/x
  3. Step 3: Cross multiply
    278,573.80x = 417,863.10 × 78,898.60
  4. Step 4: Simplify right side
    278,573.80x = 32,968,813,581.66
  5. Step 5: Solve for x
    x = 32,968,813,581.66/278,573.80
  6. Step 6: Final answer
    x = 118,348.58

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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.