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Finding the Fourth Proportional to 519,202.08, 778,468.32 and 203,690.88

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Solution

The fourth proportional to 519,202.08, 778,468.32 and 203,690.88 is: 305,404.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,202.08 : 778,468.32 = 203,690.88 : x
  2. Step 2: Convert to fraction form
    519,202.08/778,468.32 = 203,690.88/x
  3. Step 3: Cross multiply
    519,202.08x = 778,468.32 × 203,690.88
  4. Step 4: Simplify right side
    519,202.08x = 158,566,897,152.92
  5. Step 5: Solve for x
    x = 158,566,897,152.92/519,202.08
  6. Step 6: Final answer
    x = 305,404.97

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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.