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Finding the Fourth Proportional to 229,081.52, 315,011.47 and 198,814.29

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Solution

The fourth proportional to 229,081.52, 315,011.47 and 198,814.29 is: 273,390.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,081.52 : 315,011.47 = 198,814.29 : x
  2. Step 2: Convert to fraction form
    229,081.52/315,011.47 = 198,814.29/x
  3. Step 3: Cross multiply
    229,081.52x = 315,011.47 × 198,814.29
  4. Step 4: Simplify right side
    229,081.52x = 62,628,781,749.91
  5. Step 5: Solve for x
    x = 62,628,781,749.91/229,081.52
  6. Step 6: Final answer
    x = 273,390.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.