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Finding the Fourth Proportional to 512,856.80, 769,054.80 and 197,208.80

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Solution

The fourth proportional to 512,856.80, 769,054.80 and 197,208.80 is: 295,724.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,856.80 : 769,054.80 = 197,208.80 : x
  2. Step 2: Convert to fraction form
    512,856.80/769,054.80 = 197,208.80/x
  3. Step 3: Cross multiply
    512,856.80x = 769,054.80 × 197,208.80
  4. Step 4: Simplify right side
    512,856.80x = 151,664,374,242.24
  5. Step 5: Solve for x
    x = 151,664,374,242.24/512,856.80
  6. Step 6: Final answer
    x = 295,724.60

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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.