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Finding the Fourth Proportional to 278,553.35, 417,847.82 and 78,889.57

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Solution

The fourth proportional to 278,553.35, 417,847.82 and 78,889.57 is: 118,339.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,553.35 : 417,847.82 = 78,889.57 : x
  2. Step 2: Convert to fraction form
    278,553.35/417,847.82 = 78,889.57/x
  3. Step 3: Cross multiply
    278,553.35x = 417,847.82 × 78,889.57
  4. Step 4: Simplify right side
    278,553.35x = 32,963,833,406.17
  5. Step 5: Solve for x
    x = 32,963,833,406.17/278,553.35
  6. Step 6: Final answer
    x = 118,339.39

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1.5x scale

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.