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Finding the Fourth Proportional to 318,416.72, 477,846.51 and 205,817.66

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Solution

The fourth proportional to 318,416.72, 477,846.51 and 205,817.66 is: 308,869.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,416.72 : 477,846.51 = 205,817.66 : x
  2. Step 2: Convert to fraction form
    318,416.72/477,846.51 = 205,817.66/x
  3. Step 3: Cross multiply
    318,416.72x = 477,846.51 × 205,817.66
  4. Step 4: Simplify right side
    318,416.72x = 98,349,250,527.37
  5. Step 5: Solve for x
    x = 98,349,250,527.37/318,416.72
  6. Step 6: Final answer
    x = 308,869.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.