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Finding the Fourth Proportional to 420,544.08, 629,710.20 and 322,117.20

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Solution

The fourth proportional to 420,544.08, 629,710.20 and 322,117.20 is: 482,328.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,544.08 : 629,710.20 = 322,117.20 : x
  2. Step 2: Convert to fraction form
    420,544.08/629,710.20 = 322,117.20/x
  3. Step 3: Cross multiply
    420,544.08x = 629,710.20 × 322,117.20
  4. Step 4: Simplify right side
    420,544.08x = 202,840,486,435.44
  5. Step 5: Solve for x
    x = 202,840,486,435.44/420,544.08
  6. Step 6: Final answer
    x = 482,328.72

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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.