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Finding the Fourth Proportional to 309,104.52, 426,498.66 and 181,733.64

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Solution

The fourth proportional to 309,104.52, 426,498.66 and 181,733.64 is: 250,753.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,104.52 : 426,498.66 = 181,733.64 : x
  2. Step 2: Convert to fraction form
    309,104.52/426,498.66 = 181,733.64/x
  3. Step 3: Cross multiply
    309,104.52x = 426,498.66 × 181,733.64
  4. Step 4: Simplify right side
    309,104.52x = 77,509,153,936.92
  5. Step 5: Solve for x
    x = 77,509,153,936.92/309,104.52
  6. Step 6: Final answer
    x = 250,753.87

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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.