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Finding the Fourth Proportional to 312,511.52, 431,262.12 and 189,963.30

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Solution

The fourth proportional to 312,511.52, 431,262.12 and 189,963.30 is: 262,147.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,511.52 : 431,262.12 = 189,963.30 : x
  2. Step 2: Convert to fraction form
    312,511.52/431,262.12 = 189,963.30/x
  3. Step 3: Cross multiply
    312,511.52x = 431,262.12 × 189,963.30
  4. Step 4: Simplify right side
    312,511.52x = 81,923,976,596.87
  5. Step 5: Solve for x
    x = 81,923,976,596.87/312,511.52
  6. Step 6: Final answer
    x = 262,147.06

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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.