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Finding the Fourth Proportional to 326,769.83, 490,237.90 and 191,947.90

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Solution

The fourth proportional to 326,769.83, 490,237.90 and 191,947.90 is: 287,970.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,769.83 : 490,237.90 = 191,947.90 : x
  2. Step 2: Convert to fraction form
    326,769.83/490,237.90 = 191,947.90/x
  3. Step 3: Cross multiply
    326,769.83x = 490,237.90 × 191,947.90
  4. Step 4: Simplify right side
    326,769.83x = 94,100,136,672.75
  5. Step 5: Solve for x
    x = 94,100,136,672.75/326,769.83
  6. Step 6: Final answer
    x = 287,970.70

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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.