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Finding the Fourth Proportional to 207,943.30, 311,396.55 and 166,471.30

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Solution

The fourth proportional to 207,943.30, 311,396.55 and 166,471.30 is: 249,291.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,943.30 : 311,396.55 = 166,471.30 : x
  2. Step 2: Convert to fraction form
    207,943.30/311,396.55 = 166,471.30/x
  3. Step 3: Cross multiply
    207,943.30x = 311,396.55 × 166,471.30
  4. Step 4: Simplify right side
    207,943.30x = 51,838,588,494.02
  5. Step 5: Solve for x
    x = 51,838,588,494.02/207,943.30
  6. Step 6: Final answer
    x = 249,291.94

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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.