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Finding the Fourth Proportional to 213,288.70, 294,313.32 and 117,789.70

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Solution

The fourth proportional to 213,288.70, 294,313.32 and 117,789.70 is: 162,535.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,288.70 : 294,313.32 = 117,789.70 : x
  2. Step 2: Convert to fraction form
    213,288.70/294,313.32 = 117,789.70/x
  3. Step 3: Cross multiply
    213,288.70x = 294,313.32 × 117,789.70
  4. Step 4: Simplify right side
    213,288.70x = 34,667,077,668.80
  5. Step 5: Solve for x
    x = 34,667,077,668.80/213,288.70
  6. Step 6: Final answer
    x = 162,535.93

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1.5x scale

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.