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Finding the Fourth Proportional to 385,102.26, 577,790.19 and 171,850.77

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Solution

The fourth proportional to 385,102.26, 577,790.19 and 171,850.77 is: 257,837.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,102.26 : 577,790.19 = 171,850.77 : x
  2. Step 2: Convert to fraction form
    385,102.26/577,790.19 = 171,850.77/x
  3. Step 3: Cross multiply
    385,102.26x = 577,790.19 × 171,850.77
  4. Step 4: Simplify right side
    385,102.26x = 99,293,689,049.95
  5. Step 5: Solve for x
    x = 99,293,689,049.95/385,102.26
  6. Step 6: Final answer
    x = 257,837.20

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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.