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Finding the Fourth Proportional to 312,662, 431,506.36 and 191,775.58

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Solution

The fourth proportional to 312,662, 431,506.36 and 191,775.58 is: 264,670.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,662 : 431,506.36 = 191,775.58 : x
  2. Step 2: Convert to fraction form
    312,662/431,506.36 = 191,775.58/x
  3. Step 3: Cross multiply
    312,662x = 431,506.36 × 191,775.58
  4. Step 4: Simplify right side
    312,662x = 82,752,382,462.69
  5. Step 5: Solve for x
    x = 82,752,382,462.69/312,662
  6. Step 6: Final answer
    x = 264,670.42

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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.