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Finding the Fourth Proportional to 385,169.30, 531,667.24 and 264,709.34

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Solution

The fourth proportional to 385,169.30, 531,667.24 and 264,709.34 is: 365,390.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,169.30 : 531,667.24 = 264,709.34 : x
  2. Step 2: Convert to fraction form
    385,169.30/531,667.24 = 264,709.34/x
  3. Step 3: Cross multiply
    385,169.30x = 531,667.24 × 264,709.34
  4. Step 4: Simplify right side
    385,169.30x = 140,737,284,200.02
  5. Step 5: Solve for x
    x = 140,737,284,200.02/385,169.30
  6. Step 6: Final answer
    x = 365,390.71

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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.