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Finding the Fourth Proportional to 257,198.23, 385,656.40 and 79,655.95

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Solution

The fourth proportional to 257,198.23, 385,656.40 and 79,655.95 is: 119,440.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,198.23 : 385,656.40 = 79,655.95 : x
  2. Step 2: Convert to fraction form
    257,198.23/385,656.40 = 79,655.95/x
  3. Step 3: Cross multiply
    257,198.23x = 385,656.40 × 79,655.95
  4. Step 4: Simplify right side
    257,198.23x = 30,719,826,915.58
  5. Step 5: Solve for x
    x = 30,719,826,915.58/257,198.23
  6. Step 6: Final answer
    x = 119,440.27

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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.