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Finding the Fourth Proportional to 340,081.74, 509,679.54 and 211,945.41

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Solution

The fourth proportional to 340,081.74, 509,679.54 and 211,945.41 is: 317,641.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,081.74 : 509,679.54 = 211,945.41 : x
  2. Step 2: Convert to fraction form
    340,081.74/509,679.54 = 211,945.41/x
  3. Step 3: Cross multiply
    340,081.74x = 509,679.54 × 211,945.41
  4. Step 4: Simplify right side
    340,081.74x = 108,024,239,073.91
  5. Step 5: Solve for x
    x = 108,024,239,073.91/340,081.74
  6. Step 6: Final answer
    x = 317,641.99

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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.