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Finding the Fourth Proportional to 210,470.70, 290,453.84 and 114,983.56

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Solution

The fourth proportional to 210,470.70, 290,453.84 and 114,983.56 is: 158,679.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,470.70 : 290,453.84 = 114,983.56 : x
  2. Step 2: Convert to fraction form
    210,470.70/290,453.84 = 114,983.56/x
  3. Step 3: Cross multiply
    210,470.70x = 290,453.84 × 114,983.56
  4. Step 4: Simplify right side
    210,470.70x = 33,397,416,538.87
  5. Step 5: Solve for x
    x = 33,397,416,538.87/210,470.70
  6. Step 6: Final answer
    x = 158,679.65

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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.