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Finding the Fourth Proportional to 278,816.64, 417,989.85 and 120,926.17

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Solution

The fourth proportional to 278,816.64, 417,989.85 and 120,926.17 is: 181,287.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,816.64 : 417,989.85 = 120,926.17 : x
  2. Step 2: Convert to fraction form
    278,816.64/417,989.85 = 120,926.17/x
  3. Step 3: Cross multiply
    278,816.64x = 417,989.85 × 120,926.17
  4. Step 4: Simplify right side
    278,816.64x = 50,545,911,659.37
  5. Step 5: Solve for x
    x = 50,545,911,659.37/278,816.64
  6. Step 6: Final answer
    x = 181,287.28

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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.