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Finding the Fourth Proportional to 309,135.83, 426,611.88 and 180,071

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Solution

The fourth proportional to 309,135.83, 426,611.88 and 180,071 is: 248,500.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,135.83 : 426,611.88 = 180,071 : x
  2. Step 2: Convert to fraction form
    309,135.83/426,611.88 = 180,071/x
  3. Step 3: Cross multiply
    309,135.83x = 426,611.88 × 180,071
  4. Step 4: Simplify right side
    309,135.83x = 76,820,427,843.48
  5. Step 5: Solve for x
    x = 76,820,427,843.48/309,135.83
  6. Step 6: Final answer
    x = 248,500.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.