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Finding the Fourth Proportional to 210,481.83, 290,478.33 and 119,845.71

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Solution

The fourth proportional to 210,481.83, 290,478.33 and 119,845.71 is: 165,394.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,481.83 : 290,478.33 = 119,845.71 : x
  2. Step 2: Convert to fraction form
    210,481.83/290,478.33 = 119,845.71/x
  3. Step 3: Cross multiply
    210,481.83x = 290,478.33 × 119,845.71
  4. Step 4: Simplify right side
    210,481.83x = 34,812,581,698.46
  5. Step 5: Solve for x
    x = 34,812,581,698.46/210,481.83
  6. Step 6: Final answer
    x = 165,394.71

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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.