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Finding the Fourth Proportional to 278,514.84, 417,788.46 and 78,818.52

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Solution

The fourth proportional to 278,514.84, 417,788.46 and 78,818.52 is: 118,232.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,514.84 : 417,788.46 = 78,818.52 : x
  2. Step 2: Convert to fraction form
    278,514.84/417,788.46 = 78,818.52/x
  3. Step 3: Cross multiply
    278,514.84x = 417,788.46 × 78,818.52
  4. Step 4: Simplify right side
    278,514.84x = 32,929,468,090.28
  5. Step 5: Solve for x
    x = 32,929,468,090.28/278,514.84
  6. Step 6: Final answer
    x = 118,232.36

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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.