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Finding the Fourth Proportional to 278,904.87, 418,256.06 and 152,638.43

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Solution

The fourth proportional to 278,904.87, 418,256.06 and 152,638.43 is: 228,902.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,904.87 : 418,256.06 = 152,638.43 : x
  2. Step 2: Convert to fraction form
    278,904.87/418,256.06 = 152,638.43/x
  3. Step 3: Cross multiply
    278,904.87x = 418,256.06 × 152,638.43
  4. Step 4: Simplify right side
    278,904.87x = 63,841,945,481.91
  5. Step 5: Solve for x
    x = 63,841,945,481.91/278,904.87
  6. Step 6: Final answer
    x = 228,902.23

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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.