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Finding the Fourth Proportional to 210,494.64, 290,478.96 and 114,998.88

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Solution

The fourth proportional to 210,494.64, 290,478.96 and 114,998.88 is: 158,696.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,494.64 : 290,478.96 = 114,998.88 : x
  2. Step 2: Convert to fraction form
    210,494.64/290,478.96 = 114,998.88/x
  3. Step 3: Cross multiply
    210,494.64x = 290,478.96 × 114,998.88
  4. Step 4: Simplify right side
    210,494.64x = 33,404,755,063.56
  5. Step 5: Solve for x
    x = 33,404,755,063.56/210,494.64
  6. Step 6: Final answer
    x = 158,696.46

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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.