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Finding the Fourth Proportional to 313,896.47, 433,245.92 and 206,477.10

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Solution

The fourth proportional to 313,896.47, 433,245.92 and 206,477.10 is: 284,983.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,896.47 : 433,245.92 = 206,477.10 : x
  2. Step 2: Convert to fraction form
    313,896.47/433,245.92 = 206,477.10/x
  3. Step 3: Cross multiply
    313,896.47x = 433,245.92 × 206,477.10
  4. Step 4: Simplify right side
    313,896.47x = 89,455,360,116.05
  5. Step 5: Solve for x
    x = 89,455,360,116.05/313,896.47
  6. Step 6: Final answer
    x = 284,983.65

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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.