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Finding the Fourth Proportional to 278,847.71, 418,142.40 and 225,408.37

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Solution

The fourth proportional to 278,847.71, 418,142.40 and 225,408.37 is: 338,008.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,847.71 : 418,142.40 = 225,408.37 : x
  2. Step 2: Convert to fraction form
    278,847.71/418,142.40 = 225,408.37/x
  3. Step 3: Cross multiply
    278,847.71x = 418,142.40 × 225,408.37
  4. Step 4: Simplify right side
    278,847.71x = 94,252,796,973.19
  5. Step 5: Solve for x
    x = 94,252,796,973.19/278,847.71
  6. Step 6: Final answer
    x = 338,008.14

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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.