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Finding the Fourth Proportional to 285,683.50, 394,243.59 and 158,378.14

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Solution

The fourth proportional to 285,683.50, 394,243.59 and 158,378.14 is: 218,562.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,683.50 : 394,243.59 = 158,378.14 : x
  2. Step 2: Convert to fraction form
    285,683.50/394,243.59 = 158,378.14/x
  3. Step 3: Cross multiply
    285,683.50x = 394,243.59 × 158,378.14
  4. Step 4: Simplify right side
    285,683.50x = 62,439,566,491.12
  5. Step 5: Solve for x
    x = 62,439,566,491.12/285,683.50
  6. Step 6: Final answer
    x = 218,562.03

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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.