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Finding the Fourth Proportional to 285,899, 394,282.38 and 178,478.96

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Solution

The fourth proportional to 285,899, 394,282.38 and 178,478.96 is: 246,139.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,899 : 394,282.38 = 178,478.96 : x
  2. Step 2: Convert to fraction form
    285,899/394,282.38 = 178,478.96/x
  3. Step 3: Cross multiply
    285,899x = 394,282.38 × 178,478.96
  4. Step 4: Simplify right side
    285,899x = 70,371,109,128.72
  5. Step 5: Solve for x
    x = 70,371,109,128.72/285,899
  6. Step 6: Final answer
    x = 246,139.75

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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.