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Finding the Fourth Proportional to 208,301.60, 311,662.65 and 138,317.60

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Solution

The fourth proportional to 208,301.60, 311,662.65 and 138,317.60 is: 206,951.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,301.60 : 311,662.65 = 138,317.60 : x
  2. Step 2: Convert to fraction form
    208,301.60/311,662.65 = 138,317.60/x
  3. Step 3: Cross multiply
    208,301.60x = 311,662.65 × 138,317.60
  4. Step 4: Simplify right side
    208,301.60x = 43,108,429,757.64
  5. Step 5: Solve for x
    x = 43,108,429,757.64/208,301.60
  6. Step 6: Final answer
    x = 206,951.99

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1.5x scale

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.