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Finding the Fourth Proportional to 285,844.29, 394,462.44 and 156,780.14

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Solution

The fourth proportional to 285,844.29, 394,462.44 and 156,780.14 is: 216,355.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,844.29 : 394,462.44 = 156,780.14 : x
  2. Step 2: Convert to fraction form
    285,844.29/394,462.44 = 156,780.14/x
  3. Step 3: Cross multiply
    285,844.29x = 394,462.44 × 156,780.14
  4. Step 4: Simplify right side
    285,844.29x = 61,843,874,595.63
  5. Step 5: Solve for x
    x = 61,843,874,595.63/285,844.29
  6. Step 6: Final answer
    x = 216,355.12

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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.