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Finding the Fourth Proportional to 208,909.80, 313,499.10 and 115,482.60

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Solution

The fourth proportional to 208,909.80, 313,499.10 and 115,482.60 is: 173,298.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,909.80 : 313,499.10 = 115,482.60 : x
  2. Step 2: Convert to fraction form
    208,909.80/313,499.10 = 115,482.60/x
  3. Step 3: Cross multiply
    208,909.80x = 313,499.10 × 115,482.60
  4. Step 4: Simplify right side
    208,909.80x = 36,203,691,165.66
  5. Step 5: Solve for x
    x = 36,203,691,165.66/208,909.80
  6. Step 6: Final answer
    x = 173,298.19

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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.