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Finding the Fourth Proportional to 345,204.75, 476,137.13 and 230,425.50

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Solution

The fourth proportional to 345,204.75, 476,137.13 and 230,425.50 is: 317,823.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,204.75 : 476,137.13 = 230,425.50 : x
  2. Step 2: Convert to fraction form
    345,204.75/476,137.13 = 230,425.50/x
  3. Step 3: Cross multiply
    345,204.75x = 476,137.13 × 230,425.50
  4. Step 4: Simplify right side
    345,204.75x = 109,714,135,096.69
  5. Step 5: Solve for x
    x = 109,714,135,096.69/345,204.75
  6. Step 6: Final answer
    x = 317,823.36

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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.