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Finding the Fourth Proportional to 312,904.92, 431,883.48 and 185,654.28

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Solution

The fourth proportional to 312,904.92, 431,883.48 and 185,654.28 is: 256,247.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,904.92 : 431,883.48 = 185,654.28 : x
  2. Step 2: Convert to fraction form
    312,904.92/431,883.48 = 185,654.28/x
  3. Step 3: Cross multiply
    312,904.92x = 431,883.48 × 185,654.28
  4. Step 4: Simplify right side
    312,904.92x = 80,181,016,523.29
  5. Step 5: Solve for x
    x = 80,181,016,523.29/312,904.92
  6. Step 6: Final answer
    x = 256,247.22

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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.