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Finding the Fourth Proportional to 213,289.20, 294,314.01 and 117,790.20

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Solution

The fourth proportional to 213,289.20, 294,314.01 and 117,790.20 is: 162,536.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,289.20 : 294,314.01 = 117,790.20 : x
  2. Step 2: Convert to fraction form
    213,289.20/294,314.01 = 117,790.20/x
  3. Step 3: Cross multiply
    213,289.20x = 294,314.01 × 117,790.20
  4. Step 4: Simplify right side
    213,289.20x = 34,667,306,100.70
  5. Step 5: Solve for x
    x = 34,667,306,100.70/213,289.20
  6. Step 6: Final answer
    x = 162,536.62

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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.