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Finding the Fourth Proportional to 210,794.70, 290,898.96 and 115,299.30

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Solution

The fourth proportional to 210,794.70, 290,898.96 and 115,299.30 is: 159,114.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,794.70 : 290,898.96 = 115,299.30 : x
  2. Step 2: Convert to fraction form
    210,794.70/290,898.96 = 115,299.30/x
  3. Step 3: Cross multiply
    210,794.70x = 290,898.96 × 115,299.30
  4. Step 4: Simplify right side
    210,794.70x = 33,540,446,458.73
  5. Step 5: Solve for x
    x = 33,540,446,458.73/210,794.70
  6. Step 6: Final answer
    x = 159,114.28

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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.