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Finding the Fourth Proportional to 253,311.25, 379,396.20 and 177,746.45

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Solution

The fourth proportional to 253,311.25, 379,396.20 and 177,746.45 is: 266,219.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,311.25 : 379,396.20 = 177,746.45 : x
  2. Step 2: Convert to fraction form
    253,311.25/379,396.20 = 177,746.45/x
  3. Step 3: Cross multiply
    253,311.25x = 379,396.20 × 177,746.45
  4. Step 4: Simplify right side
    253,311.25x = 67,436,328,597.16
  5. Step 5: Solve for x
    x = 67,436,328,597.16/253,311.25
  6. Step 6: Final answer
    x = 266,219.24

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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.