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Finding the Fourth Proportional to 312,523.72, 431,282.54 and 169,283.44

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Solution

The fourth proportional to 312,523.72, 431,282.54 and 169,283.44 is: 233,611.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,523.72 : 431,282.54 = 169,283.44 : x
  2. Step 2: Convert to fraction form
    312,523.72/431,282.54 = 169,283.44/x
  3. Step 3: Cross multiply
    312,523.72x = 431,282.54 × 169,283.44
  4. Step 4: Simplify right side
    312,523.72x = 73,008,991,983.14
  5. Step 5: Solve for x
    x = 73,008,991,983.14/312,523.72
  6. Step 6: Final answer
    x = 233,611.04

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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.