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Finding the Fourth Proportional to 345,872.70, 518,809.05 and 212,319.90

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Solution

The fourth proportional to 345,872.70, 518,809.05 and 212,319.90 is: 318,479.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,872.70 : 518,809.05 = 212,319.90 : x
  2. Step 2: Convert to fraction form
    345,872.70/518,809.05 = 212,319.90/x
  3. Step 3: Cross multiply
    345,872.70x = 518,809.05 × 212,319.90
  4. Step 4: Simplify right side
    345,872.70x = 110,153,485,615.10
  5. Step 5: Solve for x
    x = 110,153,485,615.10/345,872.70
  6. Step 6: Final answer
    x = 318,479.85

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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.