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Finding the Fourth Proportional to 265,529.80, 399,072.30 and 231,315.40

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Solution

The fourth proportional to 265,529.80, 399,072.30 and 231,315.40 is: 347,650.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,529.80 : 399,072.30 = 231,315.40 : x
  2. Step 2: Convert to fraction form
    265,529.80/399,072.30 = 231,315.40/x
  3. Step 3: Cross multiply
    265,529.80x = 399,072.30 × 231,315.40
  4. Step 4: Simplify right side
    265,529.80x = 92,311,568,703.42
  5. Step 5: Solve for x
    x = 92,311,568,703.42/265,529.80
  6. Step 6: Final answer
    x = 347,650.50

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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.