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Finding the Fourth Proportional to 267,881.85, 401,822.78 and 208,761.98

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Solution

The fourth proportional to 267,881.85, 401,822.78 and 208,761.98 is: 313,142.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,881.85 : 401,822.78 = 208,761.98 : x
  2. Step 2: Convert to fraction form
    267,881.85/401,822.78 = 208,761.98/x
  3. Step 3: Cross multiply
    267,881.85x = 401,822.78 × 208,761.98
  4. Step 4: Simplify right side
    267,881.85x = 83,885,316,108.98
  5. Step 5: Solve for x
    x = 83,885,316,108.98/267,881.85
  6. Step 6: Final answer
    x = 313,142.96

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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.