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Finding the Fourth Proportional to 210,288.78, 290,194.50 and 114,796.14

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Solution

The fourth proportional to 210,288.78, 290,194.50 and 114,796.14 is: 158,416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,288.78 : 290,194.50 = 114,796.14 : x
  2. Step 2: Convert to fraction form
    210,288.78/290,194.50 = 114,796.14/x
  3. Step 3: Cross multiply
    210,288.78x = 290,194.50 × 114,796.14
  4. Step 4: Simplify right side
    210,288.78x = 33,313,208,449.23
  5. Step 5: Solve for x
    x = 33,313,208,449.23/210,288.78
  6. Step 6: Final answer
    x = 158,416.48

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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.