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Finding the Fourth Proportional to 458,170.49, 686,662.94 and 255,761.59

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Solution

The fourth proportional to 458,170.49, 686,662.94 and 255,761.59 is: 383,311.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,170.49 : 686,662.94 = 255,761.59 : x
  2. Step 2: Convert to fraction form
    458,170.49/686,662.94 = 255,761.59/x
  3. Step 3: Cross multiply
    458,170.49x = 686,662.94 × 255,761.59
  4. Step 4: Simplify right side
    458,170.49x = 175,622,005,328.48
  5. Step 5: Solve for x
    x = 175,622,005,328.48/458,170.49
  6. Step 6: Final answer
    x = 383,311.47

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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.