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Finding the Fourth Proportional to 288,731.55, 433,171.05 and 120,195.84

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Solution

The fourth proportional to 288,731.55, 433,171.05 and 120,195.84 is: 180,324.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,731.55 : 433,171.05 = 120,195.84 : x
  2. Step 2: Convert to fraction form
    288,731.55/433,171.05 = 120,195.84/x
  3. Step 3: Cross multiply
    288,731.55x = 433,171.05 × 120,195.84
  4. Step 4: Simplify right side
    288,731.55x = 52,065,358,218.43
  5. Step 5: Solve for x
    x = 52,065,358,218.43/288,731.55
  6. Step 6: Final answer
    x = 180,324.45

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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.