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Finding the Fourth Proportional to 409,879.36, 565,636.62 and 228,603.16

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Solution

The fourth proportional to 409,879.36, 565,636.62 and 228,603.16 is: 315,474.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,879.36 : 565,636.62 = 228,603.16 : x
  2. Step 2: Convert to fraction form
    409,879.36/565,636.62 = 228,603.16/x
  3. Step 3: Cross multiply
    409,879.36x = 565,636.62 × 228,603.16
  4. Step 4: Simplify right side
    409,879.36x = 129,306,318,743.72
  5. Step 5: Solve for x
    x = 129,306,318,743.72/409,879.36
  6. Step 6: Final answer
    x = 315,474.09

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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.