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Finding the Fourth Proportional to 312,307.97, 430,984.89 and 169,067.91

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Solution

The fourth proportional to 312,307.97, 430,984.89 and 169,067.91 is: 233,313.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,307.97 : 430,984.89 = 169,067.91 : x
  2. Step 2: Convert to fraction form
    312,307.97/430,984.89 = 169,067.91/x
  3. Step 3: Cross multiply
    312,307.97x = 430,984.89 × 169,067.91
  4. Step 4: Simplify right side
    312,307.97x = 72,865,714,593.88
  5. Step 5: Solve for x
    x = 72,865,714,593.88/312,307.97
  6. Step 6: Final answer
    x = 233,313.66

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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.