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Finding the Fourth Proportional to 313,882.56, 433,252.80 and 213,338.88

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Solution

The fourth proportional to 313,882.56, 433,252.80 and 213,338.88 is: 294,472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,882.56 : 433,252.80 = 213,338.88 : x
  2. Step 2: Convert to fraction form
    313,882.56/433,252.80 = 213,338.88/x
  3. Step 3: Cross multiply
    313,882.56x = 433,252.80 × 213,338.88
  4. Step 4: Simplify right side
    313,882.56x = 92,429,667,108.86
  5. Step 5: Solve for x
    x = 92,429,667,108.86/313,882.56
  6. Step 6: Final answer
    x = 294,472.13

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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.