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Finding the Fourth Proportional to 260,042.10, 389,199.15 and 188,762.10

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Solution

The fourth proportional to 260,042.10, 389,199.15 and 188,762.10 is: 282,515.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,042.10 : 389,199.15 = 188,762.10 : x
  2. Step 2: Convert to fraction form
    260,042.10/389,199.15 = 188,762.10/x
  3. Step 3: Cross multiply
    260,042.10x = 389,199.15 × 188,762.10
  4. Step 4: Simplify right side
    260,042.10x = 73,466,048,872.22
  5. Step 5: Solve for x
    x = 73,466,048,872.22/260,042.10
  6. Step 6: Final answer
    x = 282,515.98

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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.