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Finding the Fourth Proportional to 409,481.84, 565,010.16 and 228,189.26

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Solution

The fourth proportional to 409,481.84, 565,010.16 and 228,189.26 is: 314,859.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,481.84 : 565,010.16 = 228,189.26 : x
  2. Step 2: Convert to fraction form
    409,481.84/565,010.16 = 228,189.26/x
  3. Step 3: Cross multiply
    409,481.84x = 565,010.16 × 228,189.26
  4. Step 4: Simplify right side
    409,481.84x = 128,929,250,302.88
  5. Step 5: Solve for x
    x = 128,929,250,302.88/409,481.84
  6. Step 6: Final answer
    x = 314,859.51

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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.