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Finding the Fourth Proportional to 215,412.60, 322,989.30 and 110,436.60

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Solution

The fourth proportional to 215,412.60, 322,989.30 and 110,436.60 is: 165,588.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,412.60 : 322,989.30 = 110,436.60 : x
  2. Step 2: Convert to fraction form
    215,412.60/322,989.30 = 110,436.60/x
  3. Step 3: Cross multiply
    215,412.60x = 322,989.30 × 110,436.60
  4. Step 4: Simplify right side
    215,412.60x = 35,669,840,128.38
  5. Step 5: Solve for x
    x = 35,669,840,128.38/215,412.60
  6. Step 6: Final answer
    x = 165,588.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.