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Finding the Fourth Proportional to 278,896.47, 418,178.40 and 110,440.97

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Solution

The fourth proportional to 278,896.47, 418,178.40 and 110,440.97 is: 165,595.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,896.47 : 418,178.40 = 110,440.97 : x
  2. Step 2: Convert to fraction form
    278,896.47/418,178.40 = 110,440.97/x
  3. Step 3: Cross multiply
    278,896.47x = 418,178.40 × 110,440.97
  4. Step 4: Simplify right side
    278,896.47x = 46,184,027,192.17
  5. Step 5: Solve for x
    x = 46,184,027,192.17/278,896.47
  6. Step 6: Final answer
    x = 165,595.60

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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.