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Finding the Fourth Proportional to 285,568.69, 394,087.14 and 158,246.41

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Solution

The fourth proportional to 285,568.69, 394,087.14 and 158,246.41 is: 218,381.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,568.69 : 394,087.14 = 158,246.41 : x
  2. Step 2: Convert to fraction form
    285,568.69/394,087.14 = 158,246.41/x
  3. Step 3: Cross multiply
    285,568.69x = 394,087.14 × 158,246.41
  4. Step 4: Simplify right side
    285,568.69x = 62,362,875,132.17
  5. Step 5: Solve for x
    x = 62,362,875,132.17/285,568.69
  6. Step 6: Final answer
    x = 218,381.35

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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.