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Finding the Fourth Proportional to 442,517.43, 610,516.57 and 261,138.58

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Solution

The fourth proportional to 442,517.43, 610,516.57 and 261,138.58 is: 360,278.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,517.43 : 610,516.57 = 261,138.58 : x
  2. Step 2: Convert to fraction form
    442,517.43/610,516.57 = 261,138.58/x
  3. Step 3: Cross multiply
    442,517.43x = 610,516.57 × 261,138.58
  4. Step 4: Simplify right side
    442,517.43x = 159,429,430,156.27
  5. Step 5: Solve for x
    x = 159,429,430,156.27/442,517.43
  6. Step 6: Final answer
    x = 360,278.31

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1.5x scale

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.