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Finding the Fourth Proportional to 409,589.34, 565,236.06 and 228,312.86

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Solution

The fourth proportional to 409,589.34, 565,236.06 and 228,312.86 is: 315,073.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,589.34 : 565,236.06 = 228,312.86 : x
  2. Step 2: Convert to fraction form
    409,589.34/565,236.06 = 228,312.86/x
  3. Step 3: Cross multiply
    409,589.34x = 565,236.06 × 228,312.86
  4. Step 4: Simplify right side
    409,589.34x = 129,050,661,433.73
  5. Step 5: Solve for x
    x = 129,050,661,433.73/409,589.34
  6. Step 6: Final answer
    x = 315,073.29

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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.