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Finding the Fourth Proportional to 316,869.53, 475,304.64 and 80,212.21

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Solution

The fourth proportional to 316,869.53, 475,304.64 and 80,212.21 is: 120,318.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,869.53 : 475,304.64 = 80,212.21 : x
  2. Step 2: Convert to fraction form
    316,869.53/475,304.64 = 80,212.21/x
  3. Step 3: Cross multiply
    316,869.53x = 475,304.64 × 80,212.21
  4. Step 4: Simplify right side
    316,869.53x = 38,125,235,597.65
  5. Step 5: Solve for x
    x = 38,125,235,597.65/316,869.53
  6. Step 6: Final answer
    x = 120,318.40

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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.