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Finding the Fourth Proportional to 270,658.60, 405,958.74 and 70,999

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Solution

The fourth proportional to 270,658.60, 405,958.74 and 70,999 is: 106,490.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,658.60 : 405,958.74 = 70,999 : x
  2. Step 2: Convert to fraction form
    270,658.60/405,958.74 = 70,999/x
  3. Step 3: Cross multiply
    270,658.60x = 405,958.74 × 70,999
  4. Step 4: Simplify right side
    270,658.60x = 28,822,664,581.26
  5. Step 5: Solve for x
    x = 28,822,664,581.26/270,658.60
  6. Step 6: Final answer
    x = 106,490.85

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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.