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Finding the Fourth Proportional to 229,389.80, 343,112.70 and 205,867.40

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Solution

The fourth proportional to 229,389.80, 343,112.70 and 205,867.40 is: 307,928.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,389.80 : 343,112.70 = 205,867.40 : x
  2. Step 2: Convert to fraction form
    229,389.80/343,112.70 = 205,867.40/x
  3. Step 3: Cross multiply
    229,389.80x = 343,112.70 × 205,867.40
  4. Step 4: Simplify right side
    229,389.80x = 70,635,719,455.98
  5. Step 5: Solve for x
    x = 70,635,719,455.98/229,389.80
  6. Step 6: Final answer
    x = 307,928.77

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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.