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Finding the Fourth Proportional to 345,194.78, 476,123.42 and 230,415.56

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Solution

The fourth proportional to 345,194.78, 476,123.42 and 230,415.56 is: 317,809.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,194.78 : 476,123.42 = 230,415.56 : x
  2. Step 2: Convert to fraction form
    345,194.78/476,123.42 = 230,415.56/x
  3. Step 3: Cross multiply
    345,194.78x = 476,123.42 × 230,415.56
  4. Step 4: Simplify right side
    345,194.78x = 109,706,244,448.42
  5. Step 5: Solve for x
    x = 109,706,244,448.42/345,194.78
  6. Step 6: Final answer
    x = 317,809.69

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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.