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Finding the Fourth Proportional to 312,691.08, 431,662.47 and 209,502.96

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Solution

The fourth proportional to 312,691.08, 431,662.47 and 209,502.96 is: 289,213.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,691.08 : 431,662.47 = 209,502.96 : x
  2. Step 2: Convert to fraction form
    312,691.08/431,662.47 = 209,502.96/x
  3. Step 3: Cross multiply
    312,691.08x = 431,662.47 × 209,502.96
  4. Step 4: Simplify right side
    312,691.08x = 90,434,562,781.54
  5. Step 5: Solve for x
    x = 90,434,562,781.54/312,691.08
  6. Step 6: Final answer
    x = 289,213.76

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1.5x scale

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.