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Finding the Fourth Proportional to 210,448.20, 290,346.48 and 119,781.48

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Solution

The fourth proportional to 210,448.20, 290,346.48 and 119,781.48 is: 165,257.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,448.20 : 290,346.48 = 119,781.48 : x
  2. Step 2: Convert to fraction form
    210,448.20/290,346.48 = 119,781.48/x
  3. Step 3: Cross multiply
    210,448.20x = 290,346.48 × 119,781.48
  4. Step 4: Simplify right side
    210,448.20x = 34,778,131,087.19
  5. Step 5: Solve for x
    x = 34,778,131,087.19/210,448.20
  6. Step 6: Final answer
    x = 165,257.44

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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.