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Finding the Fourth Proportional to 222,431.40, 333,647.10 and 209,309.40

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Solution

The fourth proportional to 222,431.40, 333,647.10 and 209,309.40 is: 313,964.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,431.40 : 333,647.10 = 209,309.40 : x
  2. Step 2: Convert to fraction form
    222,431.40/333,647.10 = 209,309.40/x
  3. Step 3: Cross multiply
    222,431.40x = 333,647.10 × 209,309.40
  4. Step 4: Simplify right side
    222,431.40x = 69,835,474,312.74
  5. Step 5: Solve for x
    x = 69,835,474,312.74/222,431.40
  6. Step 6: Final answer
    x = 313,964.10

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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.