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Finding the Fourth Proportional to 309,716.80, 464,575.20 and 191,521.60

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Solution

The fourth proportional to 309,716.80, 464,575.20 and 191,521.60 is: 287,282.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,716.80 : 464,575.20 = 191,521.60 : x
  2. Step 2: Convert to fraction form
    309,716.80/464,575.20 = 191,521.60/x
  3. Step 3: Cross multiply
    309,716.80x = 464,575.20 × 191,521.60
  4. Step 4: Simplify right side
    309,716.80x = 88,976,185,624.32
  5. Step 5: Solve for x
    x = 88,976,185,624.32/309,716.80
  6. Step 6: Final answer
    x = 287,282.40

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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.