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Finding the Fourth Proportional to 259,530.40, 389,587.20 and 200,627.20

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Solution

The fourth proportional to 259,530.40, 389,587.20 and 200,627.20 is: 301,166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,530.40 : 389,587.20 = 200,627.20 : x
  2. Step 2: Convert to fraction form
    259,530.40/389,587.20 = 200,627.20/x
  3. Step 3: Cross multiply
    259,530.40x = 389,587.20 × 200,627.20
  4. Step 4: Simplify right side
    259,530.40x = 78,161,789,091.84
  5. Step 5: Solve for x
    x = 78,161,789,091.84/259,530.40
  6. Step 6: Final answer
    x = 301,166.22

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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.