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Finding the Fourth Proportional to 313,453.78, 432,635.10 and 206,033.80

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Solution

The fourth proportional to 313,453.78, 432,635.10 and 206,033.80 is: 284,371.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,453.78 : 432,635.10 = 206,033.80 : x
  2. Step 2: Convert to fraction form
    313,453.78/432,635.10 = 206,033.80/x
  3. Step 3: Cross multiply
    313,453.78x = 432,635.10 × 206,033.80
  4. Step 4: Simplify right side
    313,453.78x = 89,137,453,666.38
  5. Step 5: Solve for x
    x = 89,137,453,666.38/313,453.78
  6. Step 6: Final answer
    x = 284,371.92

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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.