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Finding the Fourth Proportional to 278,892.54, 418,510.54 and 110,384.20

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Solution

The fourth proportional to 278,892.54, 418,510.54 and 110,384.20 is: 165,644.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,892.54 : 418,510.54 = 110,384.20 : x
  2. Step 2: Convert to fraction form
    278,892.54/418,510.54 = 110,384.20/x
  3. Step 3: Cross multiply
    278,892.54x = 418,510.54 × 110,384.20
  4. Step 4: Simplify right side
    278,892.54x = 46,196,951,149.47
  5. Step 5: Solve for x
    x = 46,196,951,149.47/278,892.54
  6. Step 6: Final answer
    x = 165,644.27

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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.