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Finding the Fourth Proportional to 317,756.40, 476,634.24 and 81,099.12

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Solution

The fourth proportional to 317,756.40, 476,634.24 and 81,099.12 is: 121,648.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,756.40 : 476,634.24 = 81,099.12 : x
  2. Step 2: Convert to fraction form
    317,756.40/476,634.24 = 81,099.12/x
  3. Step 3: Cross multiply
    317,756.40x = 476,634.24 × 81,099.12
  4. Step 4: Simplify right side
    317,756.40x = 38,654,617,425.87
  5. Step 5: Solve for x
    x = 38,654,617,425.87/317,756.40
  6. Step 6: Final answer
    x = 121,648.59

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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.