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Finding the Fourth Proportional to 483,214.80, 724,822.20 and 408,565.20

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Solution

The fourth proportional to 483,214.80, 724,822.20 and 408,565.20 is: 612,847.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,214.80 : 724,822.20 = 408,565.20 : x
  2. Step 2: Convert to fraction form
    483,214.80/724,822.20 = 408,565.20/x
  3. Step 3: Cross multiply
    483,214.80x = 724,822.20 × 408,565.20
  4. Step 4: Simplify right side
    483,214.80x = 296,137,127,107.44
  5. Step 5: Solve for x
    x = 296,137,127,107.44/483,214.80
  6. Step 6: Final answer
    x = 612,847.80

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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.