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Finding the Fourth Proportional to 419,188.82, 578,479.89 and 228,201.62

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Solution

The fourth proportional to 419,188.82, 578,479.89 and 228,201.62 is: 314,917.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,188.82 : 578,479.89 = 228,201.62 : x
  2. Step 2: Convert to fraction form
    419,188.82/578,479.89 = 228,201.62/x
  3. Step 3: Cross multiply
    419,188.82x = 578,479.89 × 228,201.62
  4. Step 4: Simplify right side
    419,188.82x = 132,010,048,035.42
  5. Step 5: Solve for x
    x = 132,010,048,035.42/419,188.82
  6. Step 6: Final answer
    x = 314,917.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.