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Finding the Fourth Proportional to 223,129.80, 333,722.70 and 199,607.40

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Solution

The fourth proportional to 223,129.80, 333,722.70 and 199,607.40 is: 298,541.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,129.80 : 333,722.70 = 199,607.40 : x
  2. Step 2: Convert to fraction form
    223,129.80/333,722.70 = 199,607.40/x
  3. Step 3: Cross multiply
    223,129.80x = 333,722.70 × 199,607.40
  4. Step 4: Simplify right side
    223,129.80x = 66,613,520,467.98
  5. Step 5: Solve for x
    x = 66,613,520,467.98/223,129.80
  6. Step 6: Final answer
    x = 298,541.57

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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.