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Finding the Fourth Proportional to 210,413, 290,378.58 and 120,989

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Solution

The fourth proportional to 210,413, 290,378.58 and 120,989 is: 166,969.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,413 : 290,378.58 = 120,989 : x
  2. Step 2: Convert to fraction form
    210,413/290,378.58 = 120,989/x
  3. Step 3: Cross multiply
    210,413x = 290,378.58 × 120,989
  4. Step 4: Simplify right side
    210,413x = 35,132,614,015.62
  5. Step 5: Solve for x
    x = 35,132,614,015.62/210,413
  6. Step 6: Final answer
    x = 166,969.79

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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.