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Finding the Fourth Proportional to 442,058.70, 663,117.21 and 161,772.78

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Solution

The fourth proportional to 442,058.70, 663,117.21 and 161,772.78 is: 242,669.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,058.70 : 663,117.21 = 161,772.78 : x
  2. Step 2: Convert to fraction form
    442,058.70/663,117.21 = 161,772.78/x
  3. Step 3: Cross multiply
    442,058.70x = 663,117.21 × 161,772.78
  4. Step 4: Simplify right side
    442,058.70x = 107,274,314,527.54
  5. Step 5: Solve for x
    x = 107,274,314,527.54/442,058.70
  6. Step 6: Final answer
    x = 242,669.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.