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Finding the Fourth Proportional to 401,734.80, 601,856.64 and 287,647.20

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Solution

The fourth proportional to 401,734.80, 601,856.64 and 287,647.20 is: 430,936.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,734.80 : 601,856.64 = 287,647.20 : x
  2. Step 2: Convert to fraction form
    401,734.80/601,856.64 = 287,647.20/x
  3. Step 3: Cross multiply
    401,734.80x = 601,856.64 × 287,647.20
  4. Step 4: Simplify right side
    401,734.80x = 173,122,377,297.41
  5. Step 5: Solve for x
    x = 173,122,377,297.41/401,734.80
  6. Step 6: Final answer
    x = 430,936.97

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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.