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Finding the Fourth Proportional to 267,869.10, 401,803.65 and 208,749

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Solution

The fourth proportional to 267,869.10, 401,803.65 and 208,749 is: 313,123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,869.10 : 401,803.65 = 208,749 : x
  2. Step 2: Convert to fraction form
    267,869.10/401,803.65 = 208,749/x
  3. Step 3: Cross multiply
    267,869.10x = 401,803.65 × 208,749
  4. Step 4: Simplify right side
    267,869.10x = 83,876,110,133.85
  5. Step 5: Solve for x
    x = 83,876,110,133.85/267,869.10
  6. Step 6: Final answer
    x = 313,123.50

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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.