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Finding the Fourth Proportional to 278,385.20, 417,575.80 and 68,021.20

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Solution

The fourth proportional to 278,385.20, 417,575.80 and 68,021.20 is: 102,031.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,385.20 : 417,575.80 = 68,021.20 : x
  2. Step 2: Convert to fraction form
    278,385.20/417,575.80 = 68,021.20/x
  3. Step 3: Cross multiply
    278,385.20x = 417,575.80 × 68,021.20
  4. Step 4: Simplify right side
    278,385.20x = 28,404,007,006.96
  5. Step 5: Solve for x
    x = 28,404,007,006.96/278,385.20
  6. Step 6: Final answer
    x = 102,031.31

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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.