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Finding the Fourth Proportional to 345,255.80, 517,954.29 and 145,576.40

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Solution

The fourth proportional to 345,255.80, 517,954.29 and 145,576.40 is: 218,394.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,255.80 : 517,954.29 = 145,576.40 : x
  2. Step 2: Convert to fraction form
    345,255.80/517,954.29 = 145,576.40/x
  3. Step 3: Cross multiply
    345,255.80x = 517,954.29 × 145,576.40
  4. Step 4: Simplify right side
    345,255.80x = 75,401,920,902.76
  5. Step 5: Solve for x
    x = 75,401,920,902.76/345,255.80
  6. Step 6: Final answer
    x = 218,394.36

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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.