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Finding the Fourth Proportional to 289,057.20, 433,715.40 and 131,204.40

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Solution

The fourth proportional to 289,057.20, 433,715.40 and 131,204.40 is: 196,865.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,057.20 : 433,715.40 = 131,204.40 : x
  2. Step 2: Convert to fraction form
    289,057.20/433,715.40 = 131,204.40/x
  3. Step 3: Cross multiply
    289,057.20x = 433,715.40 × 131,204.40
  4. Step 4: Simplify right side
    289,057.20x = 56,905,368,827.76
  5. Step 5: Solve for x
    x = 56,905,368,827.76/289,057.20
  6. Step 6: Final answer
    x = 196,865.43

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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.