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Finding the Fourth Proportional to 278,482.05, 417,722.67 and 100,988.64

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Solution

The fourth proportional to 278,482.05, 417,722.67 and 100,988.64 is: 151,482.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,482.05 : 417,722.67 = 100,988.64 : x
  2. Step 2: Convert to fraction form
    278,482.05/417,722.67 = 100,988.64/x
  3. Step 3: Cross multiply
    278,482.05x = 417,722.67 × 100,988.64
  4. Step 4: Simplify right side
    278,482.05x = 42,185,244,340.47
  5. Step 5: Solve for x
    x = 42,185,244,340.47/278,482.05
  6. Step 6: Final answer
    x = 151,482.81

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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.