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Finding the Fourth Proportional to 312,904.15, 431,816.21 and 176,958.42

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Solution

The fourth proportional to 312,904.15, 431,816.21 and 176,958.42 is: 244,207.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,904.15 : 431,816.21 = 176,958.42 : x
  2. Step 2: Convert to fraction form
    312,904.15/431,816.21 = 176,958.42/x
  3. Step 3: Cross multiply
    312,904.15x = 431,816.21 × 176,958.42
  4. Step 4: Simplify right side
    312,904.15x = 76,413,515,773.92
  5. Step 5: Solve for x
    x = 76,413,515,773.92/312,904.15
  6. Step 6: Final answer
    x = 244,207.42

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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.