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Finding the Fourth Proportional to 408,364.08, 612,013.92 and 208,516.04

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Solution

The fourth proportional to 408,364.08, 612,013.92 and 208,516.04 is: 312,502.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,364.08 : 612,013.92 = 208,516.04 : x
  2. Step 2: Convert to fraction form
    408,364.08/612,013.92 = 208,516.04/x
  3. Step 3: Cross multiply
    408,364.08x = 612,013.92 × 208,516.04
  4. Step 4: Simplify right side
    408,364.08x = 127,614,719,023.28
  5. Step 5: Solve for x
    x = 127,614,719,023.28/408,364.08
  6. Step 6: Final answer
    x = 312,502.31

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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.