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Finding the Fourth Proportional to 288,972.80, 433,286.40 and 149,004.80

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Solution

The fourth proportional to 288,972.80, 433,286.40 and 149,004.80 is: 223,418.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,972.80 : 433,286.40 = 149,004.80 : x
  2. Step 2: Convert to fraction form
    288,972.80/433,286.40 = 149,004.80/x
  3. Step 3: Cross multiply
    288,972.80x = 433,286.40 × 149,004.80
  4. Step 4: Simplify right side
    288,972.80x = 64,561,753,374.72
  5. Step 5: Solve for x
    x = 64,561,753,374.72/288,972.80
  6. Step 6: Final answer
    x = 223,418.10

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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.