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Finding the Fourth Proportional to 270,670.60, 405,821.35 and 137,293.67

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Solution

The fourth proportional to 270,670.60, 405,821.35 and 137,293.67 is: 205,846.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,670.60 : 405,821.35 = 137,293.67 : x
  2. Step 2: Convert to fraction form
    270,670.60/405,821.35 = 137,293.67/x
  3. Step 3: Cross multiply
    270,670.60x = 405,821.35 × 137,293.67
  4. Step 4: Simplify right side
    270,670.60x = 55,716,703,314.41
  5. Step 5: Solve for x
    x = 55,716,703,314.41/270,670.60
  6. Step 6: Final answer
    x = 205,846.90

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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.