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Finding the Fourth Proportional to 381,754.72, 526,869.84 and 230,851.36

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Solution

The fourth proportional to 381,754.72, 526,869.84 and 230,851.36 is: 318,604.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,754.72 : 526,869.84 = 230,851.36 : x
  2. Step 2: Convert to fraction form
    381,754.72/526,869.84 = 230,851.36/x
  3. Step 3: Cross multiply
    381,754.72x = 526,869.84 × 230,851.36
  4. Step 4: Simplify right side
    381,754.72x = 121,628,619,106.98
  5. Step 5: Solve for x
    x = 121,628,619,106.98/381,754.72
  6. Step 6: Final answer
    x = 318,604.10

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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.