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Finding the Fourth Proportional to 215,046.78, 296,617.59 and 197,200.86

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Solution

The fourth proportional to 215,046.78, 296,617.59 and 197,200.86 is: 272,002.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,046.78 : 296,617.59 = 197,200.86 : x
  2. Step 2: Convert to fraction form
    215,046.78/296,617.59 = 197,200.86/x
  3. Step 3: Cross multiply
    215,046.78x = 296,617.59 × 197,200.86
  4. Step 4: Simplify right side
    215,046.78x = 58,493,243,839.13
  5. Step 5: Solve for x
    x = 58,493,243,839.13/215,046.78
  6. Step 6: Final answer
    x = 272,002.42

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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.