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Finding the Fourth Proportional to 663,103, 915,082.16 and 361,297

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Solution

The fourth proportional to 663,103, 915,082.16 and 361,297 is: 498,589.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,103 : 915,082.16 = 361,297 : x
  2. Step 2: Convert to fraction form
    663,103/915,082.16 = 361,297/x
  3. Step 3: Cross multiply
    663,103x = 915,082.16 × 361,297
  4. Step 4: Simplify right side
    663,103x = 330,616,439,161.52
  5. Step 5: Solve for x
    x = 330,616,439,161.52/663,103
  6. Step 6: Final answer
    x = 498,589.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.