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Finding the Fourth Proportional to 210,309.64, 290,231.49 and 114,816.70

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Solution

The fourth proportional to 210,309.64, 290,231.49 and 114,816.70 is: 158,449.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,309.64 : 290,231.49 = 114,816.70 : x
  2. Step 2: Convert to fraction form
    210,309.64/290,231.49 = 114,816.70/x
  3. Step 3: Cross multiply
    210,309.64x = 290,231.49 × 114,816.70
  4. Step 4: Simplify right side
    210,309.64x = 33,323,421,917.88
  5. Step 5: Solve for x
    x = 33,323,421,917.88/210,309.64
  6. Step 6: Final answer
    x = 158,449.33

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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.