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Finding the Fourth Proportional to 270,353.90, 405,558.60 and 102,015.90

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Solution

The fourth proportional to 270,353.90, 405,558.60 and 102,015.90 is: 153,034.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,353.90 : 405,558.60 = 102,015.90 : x
  2. Step 2: Convert to fraction form
    270,353.90/405,558.60 = 102,015.90/x
  3. Step 3: Cross multiply
    270,353.90x = 405,558.60 × 102,015.90
  4. Step 4: Simplify right side
    270,353.90x = 41,373,425,581.74
  5. Step 5: Solve for x
    x = 41,373,425,581.74/270,353.90
  6. Step 6: Final answer
    x = 153,034.32

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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.