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Finding the Fourth Proportional to 500,175.21, 750,403.32 and 200,865.98

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Solution

The fourth proportional to 500,175.21, 750,403.32 and 200,865.98 is: 301,355.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,175.21 : 750,403.32 = 200,865.98 : x
  2. Step 2: Convert to fraction form
    500,175.21/750,403.32 = 200,865.98/x
  3. Step 3: Cross multiply
    500,175.21x = 750,403.32 × 200,865.98
  4. Step 4: Simplify right side
    500,175.21x = 150,730,500,143.06
  5. Step 5: Solve for x
    x = 150,730,500,143.06/500,175.21
  6. Step 6: Final answer
    x = 301,355.40

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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.