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Finding the Fourth Proportional to 312,906.92, 431,886.24 and 185,656.28

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Solution

The fourth proportional to 312,906.92, 431,886.24 and 185,656.28 is: 256,249.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,906.92 : 431,886.24 = 185,656.28 : x
  2. Step 2: Convert to fraction form
    312,906.92/431,886.24 = 185,656.28/x
  3. Step 3: Cross multiply
    312,906.92x = 431,886.24 × 185,656.28
  4. Step 4: Simplify right side
    312,906.92x = 80,182,392,701.59
  5. Step 5: Solve for x
    x = 80,182,392,701.59/312,906.92
  6. Step 6: Final answer
    x = 256,249.98

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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.