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Finding the Fourth Proportional to 253,014.26, 379,508.43 and 75,522.74

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Solution

The fourth proportional to 253,014.26, 379,508.43 and 75,522.74 is: 113,280.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,014.26 : 379,508.43 = 75,522.74 : x
  2. Step 2: Convert to fraction form
    253,014.26/379,508.43 = 75,522.74/x
  3. Step 3: Cross multiply
    253,014.26x = 379,508.43 × 75,522.74
  4. Step 4: Simplify right side
    253,014.26x = 28,661,516,486.70
  5. Step 5: Solve for x
    x = 28,661,516,486.70/253,014.26
  6. Step 6: Final answer
    x = 113,280.24

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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.