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Finding the Fourth Proportional to 412,470.10, 618,705.15 and 341,611.30

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Solution

The fourth proportional to 412,470.10, 618,705.15 and 341,611.30 is: 512,416.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,470.10 : 618,705.15 = 341,611.30 : x
  2. Step 2: Convert to fraction form
    412,470.10/618,705.15 = 341,611.30/x
  3. Step 3: Cross multiply
    412,470.10x = 618,705.15 × 341,611.30
  4. Step 4: Simplify right side
    412,470.10x = 211,356,670,608.20
  5. Step 5: Solve for x
    x = 211,356,670,608.20/412,470.10
  6. Step 6: Final answer
    x = 512,416.95

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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.