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Finding the Fourth Proportional to 650,138.16, 974,856.60 and 294,958.38

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Solution

The fourth proportional to 650,138.16, 974,856.60 and 294,958.38 is: 442,278.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,138.16 : 974,856.60 = 294,958.38 : x
  2. Step 2: Convert to fraction form
    650,138.16/974,856.60 = 294,958.38/x
  3. Step 3: Cross multiply
    650,138.16x = 974,856.60 × 294,958.38
  4. Step 4: Simplify right side
    650,138.16x = 287,542,123,468.31
  5. Step 5: Solve for x
    x = 287,542,123,468.31/650,138.16
  6. Step 6: Final answer
    x = 442,278.49

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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.