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Finding the Fourth Proportional to 317,722.38, 476,438.24 and 189,696.78

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Solution

The fourth proportional to 317,722.38, 476,438.24 and 189,696.78 is: 284,458.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,722.38 : 476,438.24 = 189,696.78 : x
  2. Step 2: Convert to fraction form
    317,722.38/476,438.24 = 189,696.78/x
  3. Step 3: Cross multiply
    317,722.38x = 476,438.24 × 189,696.78
  4. Step 4: Simplify right side
    317,722.38x = 90,378,799,048.38
  5. Step 5: Solve for x
    x = 90,378,799,048.38/317,722.38
  6. Step 6: Final answer
    x = 284,458.40

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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.