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Finding the Fourth Proportional to 221,666.20, 311,120 and 221,666.20

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Solution

The fourth proportional to 221,666.20, 311,120 and 221,666.20 is: 311,120

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,666.20 : 311,120 = 221,666.20 : x
  2. Step 2: Convert to fraction form
    221,666.20/311,120 = 221,666.20/x
  3. Step 3: Cross multiply
    221,666.20x = 311,120 × 221,666.20
  4. Step 4: Simplify right side
    221,666.20x = 68,964,788,144
  5. Step 5: Solve for x
    x = 68,964,788,144/221,666.20
  6. Step 6: Final answer
    x = 311,120

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.