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Finding the Fourth Proportional to 402,288.71, 603,960.45 and 269,761.98

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Solution

The fourth proportional to 402,288.71, 603,960.45 and 269,761.98 is: 404,996.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,288.71 : 603,960.45 = 269,761.98 : x
  2. Step 2: Convert to fraction form
    402,288.71/603,960.45 = 269,761.98/x
  3. Step 3: Cross multiply
    402,288.71x = 603,960.45 × 269,761.98
  4. Step 4: Simplify right side
    402,288.71x = 162,925,565,822.08
  5. Step 5: Solve for x
    x = 162,925,565,822.08/402,288.71
  6. Step 6: Final answer
    x = 404,996.61

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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.