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Finding the Fourth Proportional to 221,465.10, 309,351.30 and 221,465.10

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Solution

The fourth proportional to 221,465.10, 309,351.30 and 221,465.10 is: 309,351.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,465.10 : 309,351.30 = 221,465.10 : x
  2. Step 2: Convert to fraction form
    221,465.10/309,351.30 = 221,465.10/x
  3. Step 3: Cross multiply
    221,465.10x = 309,351.30 × 221,465.10
  4. Step 4: Simplify right side
    221,465.10x = 68,510,516,589.63
  5. Step 5: Solve for x
    x = 68,510,516,589.63/221,465.10
  6. Step 6: Final answer
    x = 309,351.30

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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.