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Finding the Fourth Proportional to 409,755.90, 565,421.82 and 228,450.78

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Solution

The fourth proportional to 409,755.90, 565,421.82 and 228,450.78 is: 315,239.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,755.90 : 565,421.82 = 228,450.78 : x
  2. Step 2: Convert to fraction form
    409,755.90/565,421.82 = 228,450.78/x
  3. Step 3: Cross multiply
    409,755.90x = 565,421.82 × 228,450.78
  4. Step 4: Simplify right side
    409,755.90x = 129,171,055,808.02
  5. Step 5: Solve for x
    x = 129,171,055,808.02/409,755.90
  6. Step 6: Final answer
    x = 315,239.04

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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.