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Finding the Fourth Proportional to 378,329.91, 522,098.79 and 208,570.11

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Solution

The fourth proportional to 378,329.91, 522,098.79 and 208,570.11 is: 287,828.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,329.91 : 522,098.79 = 208,570.11 : x
  2. Step 2: Convert to fraction form
    378,329.91/522,098.79 = 208,570.11/x
  3. Step 3: Cross multiply
    378,329.91x = 522,098.79 × 208,570.11
  4. Step 4: Simplify right side
    378,329.91x = 108,894,202,061.17
  5. Step 5: Solve for x
    x = 108,894,202,061.17/378,329.91
  6. Step 6: Final answer
    x = 287,828.69

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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.