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Finding the Fourth Proportional to 288,716.00, 433,053.17 and 89,015.54

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Solution

The fourth proportional to 288,716.00, 433,053.17 and 89,015.54 is: 133,516.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,716.00 : 433,053.17 = 89,015.54 : x
  2. Step 2: Convert to fraction form
    288,716.00/433,053.17 = 89,015.54/x
  3. Step 3: Cross multiply
    288,716.00x = 433,053.17 × 89,015.54
  4. Step 4: Simplify right side
    288,716.00x = 38,548,459,833.53
  5. Step 5: Solve for x
    x = 38,548,459,833.53/288,716.00
  6. Step 6: Final answer
    x = 133,516.88

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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.