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Finding the Fourth Proportional to 312,671.12, 431,711.60 and 191,976.08

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Solution

The fourth proportional to 312,671.12, 431,711.60 and 191,976.08 is: 265,065.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,671.12 : 431,711.60 = 191,976.08 : x
  2. Step 2: Convert to fraction form
    312,671.12/431,711.60 = 191,976.08/x
  3. Step 3: Cross multiply
    312,671.12x = 431,711.60 × 191,976.08
  4. Step 4: Simplify right side
    312,671.12x = 82,878,300,658.53
  5. Step 5: Solve for x
    x = 82,878,300,658.53/312,671.12
  6. Step 6: Final answer
    x = 265,065.42

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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.