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Finding the Fourth Proportional to 390,198.17, 585,297.49 and 109,715.42

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Solution

The fourth proportional to 390,198.17, 585,297.49 and 109,715.42 is: 164,573.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,198.17 : 585,297.49 = 109,715.42 : x
  2. Step 2: Convert to fraction form
    390,198.17/585,297.49 = 109,715.42/x
  3. Step 3: Cross multiply
    390,198.17x = 585,297.49 × 109,715.42
  4. Step 4: Simplify right side
    390,198.17x = 64,216,159,391.72
  5. Step 5: Solve for x
    x = 64,216,159,391.72/390,198.17
  6. Step 6: Final answer
    x = 164,573.19

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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.