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Finding the Fourth Proportional to 351,903.78, 527,774.76 and 209,789.28

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Solution

The fourth proportional to 351,903.78, 527,774.76 and 209,789.28 is: 314,635.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,903.78 : 527,774.76 = 209,789.28 : x
  2. Step 2: Convert to fraction form
    351,903.78/527,774.76 = 209,789.28/x
  3. Step 3: Cross multiply
    351,903.78x = 527,774.76 × 209,789.28
  4. Step 4: Simplify right side
    351,903.78x = 110,721,486,902.57
  5. Step 5: Solve for x
    x = 110,721,486,902.57/351,903.78
  6. Step 6: Final answer
    x = 314,635.69

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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.