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Finding the Fourth Proportional to 285,899.50, 394,283.01 and 178,479.46

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Solution

The fourth proportional to 285,899.50, 394,283.01 and 178,479.46 is: 246,140.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,899.50 : 394,283.01 = 178,479.46 : x
  2. Step 2: Convert to fraction form
    285,899.50/394,283.01 = 178,479.46/x
  3. Step 3: Cross multiply
    285,899.50x = 394,283.01 × 178,479.46
  4. Step 4: Simplify right side
    285,899.50x = 70,371,418,711.97
  5. Step 5: Solve for x
    x = 70,371,418,711.97/285,899.50
  6. Step 6: Final answer
    x = 246,140.40

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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.