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Finding the Fourth Proportional to 465,305.64, 642,121.92 and 261,356.88

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Solution

The fourth proportional to 465,305.64, 642,121.92 and 261,356.88 is: 360,672.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,305.64 : 642,121.92 = 261,356.88 : x
  2. Step 2: Convert to fraction form
    465,305.64/642,121.92 = 261,356.88/x
  3. Step 3: Cross multiply
    465,305.64x = 642,121.92 × 261,356.88
  4. Step 4: Simplify right side
    465,305.64x = 167,822,981,590.81
  5. Step 5: Solve for x
    x = 167,822,981,590.81/465,305.64
  6. Step 6: Final answer
    x = 360,672.57

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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.