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Finding the Fourth Proportional to 278,959.89, 384,964.91 and 151,635.48

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Solution

The fourth proportional to 278,959.89, 384,964.91 and 151,635.48 is: 209,257.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,959.89 : 384,964.91 = 151,635.48 : x
  2. Step 2: Convert to fraction form
    278,959.89/384,964.91 = 151,635.48/x
  3. Step 3: Cross multiply
    278,959.89x = 384,964.91 × 151,635.48
  4. Step 4: Simplify right side
    278,959.89x = 58,374,338,152.83
  5. Step 5: Solve for x
    x = 58,374,338,152.83/278,959.89
  6. Step 6: Final answer
    x = 209,257.10

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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.