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Finding the Fourth Proportional to 315,761.59, 435,745.84 and 172,518.55

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Solution

The fourth proportional to 315,761.59, 435,745.84 and 172,518.55 is: 238,072.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,761.59 : 435,745.84 = 172,518.55 : x
  2. Step 2: Convert to fraction form
    315,761.59/435,745.84 = 172,518.55/x
  3. Step 3: Cross multiply
    315,761.59x = 435,745.84 × 172,518.55
  4. Step 4: Simplify right side
    315,761.59x = 75,174,240,485.33
  5. Step 5: Solve for x
    x = 75,174,240,485.33/315,761.59
  6. Step 6: Final answer
    x = 238,072.78

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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.