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Finding the Fourth Proportional to 215,215.38, 296,820.36 and 191,034

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Solution

The fourth proportional to 215,215.38, 296,820.36 and 191,034 is: 263,469.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,215.38 : 296,820.36 = 191,034 : x
  2. Step 2: Convert to fraction form
    215,215.38/296,820.36 = 191,034/x
  3. Step 3: Cross multiply
    215,215.38x = 296,820.36 × 191,034
  4. Step 4: Simplify right side
    215,215.38x = 56,702,780,652.24
  5. Step 5: Solve for x
    x = 56,702,780,652.24/215,215.38
  6. Step 6: Final answer
    x = 263,469.93

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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.