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Finding the Fourth Proportional to 535,769.96, 739,385.70 and 320,945

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Solution

The fourth proportional to 535,769.96, 739,385.70 and 320,945 is: 442,917.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,769.96 : 739,385.70 = 320,945 : x
  2. Step 2: Convert to fraction form
    535,769.96/739,385.70 = 320,945/x
  3. Step 3: Cross multiply
    535,769.96x = 739,385.70 × 320,945
  4. Step 4: Simplify right side
    535,769.96x = 237,302,143,486.50
  5. Step 5: Solve for x
    x = 237,302,143,486.50/535,769.96
  6. Step 6: Final answer
    x = 442,917.97

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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.