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Finding the Fourth Proportional to 288,794.63, 433,249.72 and 89,107.53

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Solution

The fourth proportional to 288,794.63, 433,249.72 and 89,107.53 is: 133,679.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,794.63 : 433,249.72 = 89,107.53 : x
  2. Step 2: Convert to fraction form
    288,794.63/433,249.72 = 89,107.53/x
  3. Step 3: Cross multiply
    288,794.63x = 433,249.72 × 89,107.53
  4. Step 4: Simplify right side
    288,794.63x = 38,605,811,076.17
  5. Step 5: Solve for x
    x = 38,605,811,076.17/288,794.63
  6. Step 6: Final answer
    x = 133,679.12

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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.