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Finding the Fourth Proportional to 206,896.30, 310,344.45 and 165,424.30

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Solution

The fourth proportional to 206,896.30, 310,344.45 and 165,424.30 is: 248,136.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,896.30 : 310,344.45 = 165,424.30 : x
  2. Step 2: Convert to fraction form
    206,896.30/310,344.45 = 165,424.30/x
  3. Step 3: Cross multiply
    206,896.30x = 310,344.45 × 165,424.30
  4. Step 4: Simplify right side
    206,896.30x = 51,338,513,400.14
  5. Step 5: Solve for x
    x = 51,338,513,400.14/206,896.30
  6. Step 6: Final answer
    x = 248,136.45

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1.5x scale

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.