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Finding the Fourth Proportional to 317,076.98, 475,624.58 and 80,419.28

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Solution

The fourth proportional to 317,076.98, 475,624.58 and 80,419.28 is: 120,631.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,076.98 : 475,624.58 = 80,419.28 : x
  2. Step 2: Convert to fraction form
    317,076.98/475,624.58 = 80,419.28/x
  3. Step 3: Cross multiply
    317,076.98x = 475,624.58 × 80,419.28
  4. Step 4: Simplify right side
    317,076.98x = 38,249,383,493.68
  5. Step 5: Solve for x
    x = 38,249,383,493.68/317,076.98
  6. Step 6: Final answer
    x = 120,631.22

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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.