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Finding the Fourth Proportional to 345,728.64, 476,976.96 and 232,371.84

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Solution

The fourth proportional to 345,728.64, 476,976.96 and 232,371.84 is: 320,586.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,728.64 : 476,976.96 = 232,371.84 : x
  2. Step 2: Convert to fraction form
    345,728.64/476,976.96 = 232,371.84/x
  3. Step 3: Cross multiply
    345,728.64x = 476,976.96 × 232,371.84
  4. Step 4: Simplify right side
    345,728.64x = 110,836,013,832.81
  5. Step 5: Solve for x
    x = 110,836,013,832.81/345,728.64
  6. Step 6: Final answer
    x = 320,586.73

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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.