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Finding the Fourth Proportional to 220,468.50, 330,702.75 and 54,256.50

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Solution

The fourth proportional to 220,468.50, 330,702.75 and 54,256.50 is: 81,384.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,468.50 : 330,702.75 = 54,256.50 : x
  2. Step 2: Convert to fraction form
    220,468.50/330,702.75 = 54,256.50/x
  3. Step 3: Cross multiply
    220,468.50x = 330,702.75 × 54,256.50
  4. Step 4: Simplify right side
    220,468.50x = 17,942,773,755.38
  5. Step 5: Solve for x
    x = 17,942,773,755.38/220,468.50
  6. Step 6: Final answer
    x = 81,384.75

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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.