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Finding the Fourth Proportional to 309,107.88, 426,714.96 and 207,199.91

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Solution

The fourth proportional to 309,107.88, 426,714.96 and 207,199.91 is: 286,033.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,107.88 : 426,714.96 = 207,199.91 : x
  2. Step 2: Convert to fraction form
    309,107.88/426,714.96 = 207,199.91/x
  3. Step 3: Cross multiply
    309,107.88x = 426,714.96 × 207,199.91
  4. Step 4: Simplify right side
    309,107.88x = 88,415,299,174.08
  5. Step 5: Solve for x
    x = 88,415,299,174.08/309,107.88
  6. Step 6: Final answer
    x = 286,033.79

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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.