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Finding the Fourth Proportional to 267,887.10, 401,830.65 and 208,767

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Solution

The fourth proportional to 267,887.10, 401,830.65 and 208,767 is: 313,150.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,887.10 : 401,830.65 = 208,767 : x
  2. Step 2: Convert to fraction form
    267,887.10/401,830.65 = 208,767/x
  3. Step 3: Cross multiply
    267,887.10x = 401,830.65 × 208,767
  4. Step 4: Simplify right side
    267,887.10x = 83,888,979,308.55
  5. Step 5: Solve for x
    x = 83,888,979,308.55/267,887.10
  6. Step 6: Final answer
    x = 313,150.50

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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.