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Finding the Fourth Proportional to 345,685.20, 519,694.20 and 294,363.60

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Solution

The fourth proportional to 345,685.20, 519,694.20 and 294,363.60 is: 442,538.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,685.20 : 519,694.20 = 294,363.60 : x
  2. Step 2: Convert to fraction form
    345,685.20/519,694.20 = 294,363.60/x
  3. Step 3: Cross multiply
    345,685.20x = 519,694.20 × 294,363.60
  4. Step 4: Simplify right side
    345,685.20x = 152,979,055,611.12
  5. Step 5: Solve for x
    x = 152,979,055,611.12/345,685.20
  6. Step 6: Final answer
    x = 442,538.63

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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.