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Finding the Fourth Proportional to 345,908.68, 519,063.10 and 146,216.20

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Solution

The fourth proportional to 345,908.68, 519,063.10 and 146,216.20 is: 219,408.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,908.68 : 519,063.10 = 146,216.20 : x
  2. Step 2: Convert to fraction form
    345,908.68/519,063.10 = 146,216.20/x
  3. Step 3: Cross multiply
    345,908.68x = 519,063.10 × 146,216.20
  4. Step 4: Simplify right side
    345,908.68x = 75,895,434,042.22
  5. Step 5: Solve for x
    x = 75,895,434,042.22/345,908.68
  6. Step 6: Final answer
    x = 219,408.87

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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.