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Finding the Fourth Proportional to 552,743.82, 762,789.78 and 311,030.46

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Solution

The fourth proportional to 552,743.82, 762,789.78 and 311,030.46 is: 429,223.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,743.82 : 762,789.78 = 311,030.46 : x
  2. Step 2: Convert to fraction form
    552,743.82/762,789.78 = 311,030.46/x
  3. Step 3: Cross multiply
    552,743.82x = 762,789.78 × 311,030.46
  4. Step 4: Simplify right side
    552,743.82x = 237,250,856,156.70
  5. Step 5: Solve for x
    x = 237,250,856,156.70/552,743.82
  6. Step 6: Final answer
    x = 429,223.90

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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.