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Finding the Fourth Proportional to 317,963.20, 476,944.80 and 81,324.40

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Solution

The fourth proportional to 317,963.20, 476,944.80 and 81,324.40 is: 121,986.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,963.20 : 476,944.80 = 81,324.40 : x
  2. Step 2: Convert to fraction form
    317,963.20/476,944.80 = 81,324.40/x
  3. Step 3: Cross multiply
    317,963.20x = 476,944.80 × 81,324.40
  4. Step 4: Simplify right side
    317,963.20x = 38,787,249,693.12
  5. Step 5: Solve for x
    x = 38,787,249,693.12/317,963.20
  6. Step 6: Final answer
    x = 121,986.60

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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.