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Finding the Fourth Proportional to 419,355.86, 578,717.73 and 228,369.10

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Solution

The fourth proportional to 419,355.86, 578,717.73 and 228,369.10 is: 315,152.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,355.86 : 578,717.73 = 228,369.10 : x
  2. Step 2: Convert to fraction form
    419,355.86/578,717.73 = 228,369.10/x
  3. Step 3: Cross multiply
    419,355.86x = 578,717.73 × 228,369.10
  4. Step 4: Simplify right side
    419,355.86x = 132,161,244,201.37
  5. Step 5: Solve for x
    x = 132,161,244,201.37/419,355.86
  6. Step 6: Final answer
    x = 315,152.97

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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.