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Finding the Fourth Proportional to 278,671.22, 384,590 and 157,834

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Solution

The fourth proportional to 278,671.22, 384,590 and 157,834 is: 217,824.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,671.22 : 384,590 = 157,834 : x
  2. Step 2: Convert to fraction form
    278,671.22/384,590 = 157,834/x
  3. Step 3: Cross multiply
    278,671.22x = 384,590 × 157,834
  4. Step 4: Simplify right side
    278,671.22x = 60,701,378,060
  5. Step 5: Solve for x
    x = 60,701,378,060/278,671.22
  6. Step 6: Final answer
    x = 217,824.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.