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Finding the Fourth Proportional to 409,893.15, 565,653.55 and 228,616.82

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Solution

The fourth proportional to 409,893.15, 565,653.55 and 228,616.82 is: 315,491.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,893.15 : 565,653.55 = 228,616.82 : x
  2. Step 2: Convert to fraction form
    409,893.15/565,653.55 = 228,616.82/x
  3. Step 3: Cross multiply
    409,893.15x = 565,653.55 × 228,616.82
  4. Step 4: Simplify right side
    409,893.15x = 129,317,915,822.71
  5. Step 5: Solve for x
    x = 129,317,915,822.71/409,893.15
  6. Step 6: Final answer
    x = 315,491.77

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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.