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Finding the Fourth Proportional to 312,963.14, 431,950.38 and 205,530.42

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Solution

The fourth proportional to 312,963.14, 431,950.38 and 205,530.42 is: 283,672.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,963.14 : 431,950.38 = 205,530.42 : x
  2. Step 2: Convert to fraction form
    312,963.14/431,950.38 = 205,530.42/x
  3. Step 3: Cross multiply
    312,963.14x = 431,950.38 × 205,530.42
  4. Step 4: Simplify right side
    312,963.14x = 88,778,943,020.56
  5. Step 5: Solve for x
    x = 88,778,943,020.56/312,963.14
  6. Step 6: Final answer
    x = 283,672.20

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1.5x scale

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.