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Finding the Fourth Proportional to 210,488.16, 290,458.36 and 114,974.56

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Solution

The fourth proportional to 210,488.16, 290,458.36 and 114,974.56 is: 158,656.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,488.16 : 290,458.36 = 114,974.56 : x
  2. Step 2: Convert to fraction form
    210,488.16/290,458.36 = 114,974.56/x
  3. Step 3: Cross multiply
    210,488.16x = 290,458.36 × 114,974.56
  4. Step 4: Simplify right side
    210,488.16x = 33,395,322,139.32
  5. Step 5: Solve for x
    x = 33,395,322,139.32/210,488.16
  6. Step 6: Final answer
    x = 158,656.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.