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Finding the Fourth Proportional to 329,182.86, 454,468.11 and 208,427.65

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Solution

The fourth proportional to 329,182.86, 454,468.11 and 208,427.65 is: 287,754.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,182.86 : 454,468.11 = 208,427.65 : x
  2. Step 2: Convert to fraction form
    329,182.86/454,468.11 = 208,427.65/x
  3. Step 3: Cross multiply
    329,182.86x = 454,468.11 × 208,427.65
  4. Step 4: Simplify right side
    329,182.86x = 94,723,721,516.93
  5. Step 5: Solve for x
    x = 94,723,721,516.93/329,182.86
  6. Step 6: Final answer
    x = 287,754.12

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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.