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Finding the Fourth Proportional to 285,306.95, 394,133.69 and 227,870.87

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Solution

The fourth proportional to 285,306.95, 394,133.69 and 227,870.87 is: 314,789.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,306.95 : 394,133.69 = 227,870.87 : x
  2. Step 2: Convert to fraction form
    285,306.95/394,133.69 = 227,870.87/x
  3. Step 3: Cross multiply
    285,306.95x = 394,133.69 × 227,870.87
  4. Step 4: Simplify right side
    285,306.95x = 89,811,583,726.59
  5. Step 5: Solve for x
    x = 89,811,583,726.59/285,306.95
  6. Step 6: Final answer
    x = 314,789.34

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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.