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Finding the Fourth Proportional to 285,859.31, 394,483.11 and 156,795.12

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Solution

The fourth proportional to 285,859.31, 394,483.11 and 156,795.12 is: 216,375.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,859.31 : 394,483.11 = 156,795.12 : x
  2. Step 2: Convert to fraction form
    285,859.31/394,483.11 = 156,795.12/x
  3. Step 3: Cross multiply
    285,859.31x = 394,483.11 × 156,795.12
  4. Step 4: Simplify right side
    285,859.31x = 61,853,026,570.42
  5. Step 5: Solve for x
    x = 61,853,026,570.42/285,859.31
  6. Step 6: Final answer
    x = 216,375.77

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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.