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Finding the Fourth Proportional to 378,002.70, 567,004.05 and 211,769.10

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Solution

The fourth proportional to 378,002.70, 567,004.05 and 211,769.10 is: 317,653.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,002.70 : 567,004.05 = 211,769.10 : x
  2. Step 2: Convert to fraction form
    378,002.70/567,004.05 = 211,769.10/x
  3. Step 3: Cross multiply
    378,002.70x = 567,004.05 × 211,769.10
  4. Step 4: Simplify right side
    378,002.70x = 120,073,937,364.86
  5. Step 5: Solve for x
    x = 120,073,937,364.86/378,002.70
  6. Step 6: Final answer
    x = 317,653.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.