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Finding the Fourth Proportional to 724,309.60, 1,085,686.80 and 274,856.80

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Solution

The fourth proportional to 724,309.60, 1,085,686.80 and 274,856.80 is: 411,990.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,309.60 : 1,085,686.80 = 274,856.80 : x
  2. Step 2: Convert to fraction form
    724,309.60/1,085,686.80 = 274,856.80/x
  3. Step 3: Cross multiply
    724,309.60x = 1,085,686.80 × 274,856.80
  4. Step 4: Simplify right side
    724,309.60x = 298,408,399,650.24
  5. Step 5: Solve for x
    x = 298,408,399,650.24/724,309.60
  6. Step 6: Final answer
    x = 411,990.12

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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.