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Finding the Fourth Proportional to 272,211.31, 375,641.78 and 149,702.64

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Solution

The fourth proportional to 272,211.31, 375,641.78 and 149,702.64 is: 206,584.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,211.31 : 375,641.78 = 149,702.64 : x
  2. Step 2: Convert to fraction form
    272,211.31/375,641.78 = 149,702.64/x
  3. Step 3: Cross multiply
    272,211.31x = 375,641.78 × 149,702.64
  4. Step 4: Simplify right side
    272,211.31x = 56,234,566,160.30
  5. Step 5: Solve for x
    x = 56,234,566,160.30/272,211.31
  6. Step 6: Final answer
    x = 206,584.24

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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.