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Finding the Fourth Proportional to 483,139.60, 724,709.40 and 305,846.80

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Solution

The fourth proportional to 483,139.60, 724,709.40 and 305,846.80 is: 458,770.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,139.60 : 724,709.40 = 305,846.80 : x
  2. Step 2: Convert to fraction form
    483,139.60/724,709.40 = 305,846.80/x
  3. Step 3: Cross multiply
    483,139.60x = 724,709.40 × 305,846.80
  4. Step 4: Simplify right side
    483,139.60x = 221,650,050,919.92
  5. Step 5: Solve for x
    x = 221,650,050,919.92/483,139.60
  6. Step 6: Final answer
    x = 458,770.20

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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.