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Finding the Fourth Proportional to 278,216.51, 417,044.30 and 109,671.56

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Solution

The fourth proportional to 278,216.51, 417,044.30 and 109,671.56 is: 164,396.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,216.51 : 417,044.30 = 109,671.56 : x
  2. Step 2: Convert to fraction form
    278,216.51/417,044.30 = 109,671.56/x
  3. Step 3: Cross multiply
    278,216.51x = 417,044.30 × 109,671.56
  4. Step 4: Simplify right side
    278,216.51x = 45,737,896,336.53
  5. Step 5: Solve for x
    x = 45,737,896,336.53/278,216.51
  6. Step 6: Final answer
    x = 164,396.78

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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.