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Finding the Fourth Proportional to 278,415.17, 417,622.75 and 68,052.77

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Solution

The fourth proportional to 278,415.17, 417,622.75 and 68,052.77 is: 102,079.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,415.17 : 417,622.75 = 68,052.77 : x
  2. Step 2: Convert to fraction form
    278,415.17/417,622.75 = 68,052.77/x
  3. Step 3: Cross multiply
    278,415.17x = 417,622.75 × 68,052.77
  4. Step 4: Simplify right side
    278,415.17x = 28,420,384,952.52
  5. Step 5: Solve for x
    x = 28,420,384,952.52/278,415.17
  6. Step 6: Final answer
    x = 102,079.15

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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.