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Finding the Fourth Proportional to 306,800.64, 423,515.52 and 206,256.96

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Solution

The fourth proportional to 306,800.64, 423,515.52 and 206,256.96 is: 284,722.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,800.64 : 423,515.52 = 206,256.96 : x
  2. Step 2: Convert to fraction form
    306,800.64/423,515.52 = 206,256.96/x
  3. Step 3: Cross multiply
    306,800.64x = 423,515.52 × 206,256.96
  4. Step 4: Simplify right side
    306,800.64x = 87,353,023,668.02
  5. Step 5: Solve for x
    x = 87,353,023,668.02/306,800.64
  6. Step 6: Final answer
    x = 284,722.43

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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.