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Finding the Fourth Proportional to 312,697.28, 431,530.44 and 191,905.52

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Solution

The fourth proportional to 312,697.28, 431,530.44 and 191,905.52 is: 264,834.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,697.28 : 431,530.44 = 191,905.52 : x
  2. Step 2: Convert to fraction form
    312,697.28/431,530.44 = 191,905.52/x
  3. Step 3: Cross multiply
    312,697.28x = 431,530.44 × 191,905.52
  4. Step 4: Simplify right side
    312,697.28x = 82,813,073,484.03
  5. Step 5: Solve for x
    x = 82,813,073,484.03/312,697.28
  6. Step 6: Final answer
    x = 264,834.65

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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.