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Finding the Fourth Proportional to 418,741.08, 627,873.67 and 285,782.41

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Solution

The fourth proportional to 418,741.08, 627,873.67 and 285,782.41 is: 428,511.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,741.08 : 627,873.67 = 285,782.41 : x
  2. Step 2: Convert to fraction form
    418,741.08/627,873.67 = 285,782.41/x
  3. Step 3: Cross multiply
    418,741.08x = 627,873.67 × 285,782.41
  4. Step 4: Simplify right side
    418,741.08x = 179,435,250,588.15
  5. Step 5: Solve for x
    x = 179,435,250,588.15/418,741.08
  6. Step 6: Final answer
    x = 428,511.22

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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.