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Finding the Fourth Proportional to 285,610.95, 394,143.11 and 158,294.75

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Solution

The fourth proportional to 285,610.95, 394,143.11 and 158,294.75 is: 218,446.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,610.95 : 394,143.11 = 158,294.75 : x
  2. Step 2: Convert to fraction form
    285,610.95/394,143.11 = 158,294.75/x
  3. Step 3: Cross multiply
    285,610.95x = 394,143.11 × 158,294.75
  4. Step 4: Simplify right side
    285,610.95x = 62,390,782,299.48
  5. Step 5: Solve for x
    x = 62,390,782,299.48/285,610.95
  6. Step 6: Final answer
    x = 218,446.74

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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.