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Finding the Fourth Proportional to 264,811.80, 397,240.38 and 75,272.88

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Solution

The fourth proportional to 264,811.80, 397,240.38 and 75,272.88 is: 112,915.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,811.80 : 397,240.38 = 75,272.88 : x
  2. Step 2: Convert to fraction form
    264,811.80/397,240.38 = 75,272.88/x
  3. Step 3: Cross multiply
    264,811.80x = 397,240.38 × 75,272.88
  4. Step 4: Simplify right side
    264,811.80x = 29,901,427,454.89
  5. Step 5: Solve for x
    x = 29,901,427,454.89/264,811.80
  6. Step 6: Final answer
    x = 112,915.77

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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.