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Finding the Fourth Proportional to 274,826.52, 411,702.90 and 189,422.20

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Solution

The fourth proportional to 274,826.52, 411,702.90 and 189,422.20 is: 283,763.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,826.52 : 411,702.90 = 189,422.20 : x
  2. Step 2: Convert to fraction form
    274,826.52/411,702.90 = 189,422.20/x
  3. Step 3: Cross multiply
    274,826.52x = 411,702.90 × 189,422.20
  4. Step 4: Simplify right side
    274,826.52x = 77,985,669,064.38
  5. Step 5: Solve for x
    x = 77,985,669,064.38/274,826.52
  6. Step 6: Final answer
    x = 283,763.26

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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.