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Finding the Fourth Proportional to 228,672.89, 315,678.29 and 160,748.09

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Solution

The fourth proportional to 228,672.89, 315,678.29 and 160,748.09 is: 221,909.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,672.89 : 315,678.29 = 160,748.09 : x
  2. Step 2: Convert to fraction form
    228,672.89/315,678.29 = 160,748.09/x
  3. Step 3: Cross multiply
    228,672.89x = 315,678.29 × 160,748.09
  4. Step 4: Simplify right side
    228,672.89x = 50,744,682,157.42
  5. Step 5: Solve for x
    x = 50,744,682,157.42/228,672.89
  6. Step 6: Final answer
    x = 221,909.48

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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.