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Finding the Fourth Proportional to 285,856.40, 394,506.06 and 158,573

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Solution

The fourth proportional to 285,856.40, 394,506.06 and 158,573 is: 218,844.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,856.40 : 394,506.06 = 158,573 : x
  2. Step 2: Convert to fraction form
    285,856.40/394,506.06 = 158,573/x
  3. Step 3: Cross multiply
    285,856.40x = 394,506.06 × 158,573
  4. Step 4: Simplify right side
    285,856.40x = 62,558,009,452.38
  5. Step 5: Solve for x
    x = 62,558,009,452.38/285,856.40
  6. Step 6: Final answer
    x = 218,844.18

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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.