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Finding the Fourth Proportional to 483,205.20, 724,807.80 and 315,243.60

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Solution

The fourth proportional to 483,205.20, 724,807.80 and 315,243.60 is: 472,865.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,205.20 : 724,807.80 = 315,243.60 : x
  2. Step 2: Convert to fraction form
    483,205.20/724,807.80 = 315,243.60/x
  3. Step 3: Cross multiply
    483,205.20x = 724,807.80 × 315,243.60
  4. Step 4: Simplify right side
    483,205.20x = 228,491,020,180.08
  5. Step 5: Solve for x
    x = 228,491,020,180.08/483,205.20
  6. Step 6: Final answer
    x = 472,865.40

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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.