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Finding the Fourth Proportional to 318,163, 438,704.22 and 203,289.88

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Solution

The fourth proportional to 318,163, 438,704.22 and 203,289.88 is: 280,309.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,163 : 438,704.22 = 203,289.88 : x
  2. Step 2: Convert to fraction form
    318,163/438,704.22 = 203,289.88/x
  3. Step 3: Cross multiply
    318,163x = 438,704.22 × 203,289.88
  4. Step 4: Simplify right side
    318,163x = 89,184,128,239.29
  5. Step 5: Solve for x
    x = 89,184,128,239.29/318,163
  6. Step 6: Final answer
    x = 280,309.55

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1.5x scale

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.