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Finding the Fourth Proportional to 317,022.96, 472,231.38 and 300,193.92

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Solution

The fourth proportional to 317,022.96, 472,231.38 and 300,193.92 is: 447,163.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,022.96 : 472,231.38 = 300,193.92 : x
  2. Step 2: Convert to fraction form
    317,022.96/472,231.38 = 300,193.92/x
  3. Step 3: Cross multiply
    317,022.96x = 472,231.38 × 300,193.92
  4. Step 4: Simplify right side
    317,022.96x = 141,760,989,109.21
  5. Step 5: Solve for x
    x = 141,760,989,109.21/317,022.96
  6. Step 6: Final answer
    x = 447,163.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.