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Finding the Fourth Proportional to 278,497.63, 417,616.84 and 100,997.47

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Solution

The fourth proportional to 278,497.63, 417,616.84 and 100,997.47 is: 151,449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,497.63 : 417,616.84 = 100,997.47 : x
  2. Step 2: Convert to fraction form
    278,497.63/417,616.84 = 100,997.47/x
  3. Step 3: Cross multiply
    278,497.63x = 417,616.84 × 100,997.47
  4. Step 4: Simplify right side
    278,497.63x = 42,178,243,351.60
  5. Step 5: Solve for x
    x = 42,178,243,351.60/278,497.63
  6. Step 6: Final answer
    x = 151,449.20

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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.