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Finding the Fourth Proportional to 316,801.81, 475,204.34 and 80,144.70

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Solution

The fourth proportional to 316,801.81, 475,204.34 and 80,144.70 is: 120,217.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,801.81 : 475,204.34 = 80,144.70 : x
  2. Step 2: Convert to fraction form
    316,801.81/475,204.34 = 80,144.70/x
  3. Step 3: Cross multiply
    316,801.81x = 475,204.34 × 80,144.70
  4. Step 4: Simplify right side
    316,801.81x = 38,085,109,268.00
  5. Step 5: Solve for x
    x = 38,085,109,268.00/316,801.81
  6. Step 6: Final answer
    x = 120,217.46

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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.