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Finding the Fourth Proportional to 660,666.36, 991,147.21 and 211,414.20

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Solution

The fourth proportional to 660,666.36, 991,147.21 and 211,414.20 is: 317,168.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,666.36 : 991,147.21 = 211,414.20 : x
  2. Step 2: Convert to fraction form
    660,666.36/991,147.21 = 211,414.20/x
  3. Step 3: Cross multiply
    660,666.36x = 991,147.21 × 211,414.20
  4. Step 4: Simplify right side
    660,666.36x = 209,542,594,484.38
  5. Step 5: Solve for x
    x = 209,542,594,484.38/660,666.36
  6. Step 6: Final answer
    x = 317,168.55

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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.