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Finding the Fourth Proportional to 311,043.74, 429,310.37 and 203,551.49

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Solution

The fourth proportional to 311,043.74, 429,310.37 and 203,551.49 is: 280,946.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,043.74 : 429,310.37 = 203,551.49 : x
  2. Step 2: Convert to fraction form
    311,043.74/429,310.37 = 203,551.49/x
  3. Step 3: Cross multiply
    311,043.74x = 429,310.37 × 203,551.49
  4. Step 4: Simplify right side
    311,043.74x = 87,386,767,068.11
  5. Step 5: Solve for x
    x = 87,386,767,068.11/311,043.74
  6. Step 6: Final answer
    x = 280,946.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.