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Finding the Fourth Proportional to 409,879.86, 565,637.31 and 228,603.66

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Solution

The fourth proportional to 409,879.86, 565,637.31 and 228,603.66 is: 315,474.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,879.86 : 565,637.31 = 228,603.66 : x
  2. Step 2: Convert to fraction form
    409,879.86/565,637.31 = 228,603.66/x
  3. Step 3: Cross multiply
    409,879.86x = 565,637.31 × 228,603.66
  4. Step 4: Simplify right side
    409,879.86x = 129,306,759,298.56
  5. Step 5: Solve for x
    x = 129,306,759,298.56/409,879.86
  6. Step 6: Final answer
    x = 315,474.78

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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.