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Finding the Fourth Proportional to 285,893, 394,274.10 and 178,472.96

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Solution

The fourth proportional to 285,893, 394,274.10 and 178,472.96 is: 246,131.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,893 : 394,274.10 = 178,472.96 : x
  2. Step 2: Convert to fraction form
    285,893/394,274.10 = 178,472.96/x
  3. Step 3: Cross multiply
    285,893x = 394,274.10 × 178,472.96
  4. Step 4: Simplify right side
    285,893x = 70,367,265,678.34
  5. Step 5: Solve for x
    x = 70,367,265,678.34/285,893
  6. Step 6: Final answer
    x = 246,131.47

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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.