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Finding the Fourth Proportional to 220,583,538.40, 330,237,578.40 and 214,206,246.40

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Solution

The fourth proportional to 220,583,538.40, 330,237,578.40 and 214,206,246.40 is: 320,690,077.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,583,538.40 : 330,237,578.40 = 214,206,246.40 : x
  2. Step 2: Convert to fraction form
    220,583,538.40/330,237,578.40 = 214,206,246.40/x
  3. Step 3: Cross multiply
    220,583,538.40x = 330,237,578.40 × 214,206,246.40
  4. Step 4: Simplify right side
    220,583,538.40x = 70,738,952,089,289,712
  5. Step 5: Solve for x
    x = 70,738,952,089,289,712/220,583,538.40
  6. Step 6: Final answer
    x = 320,690,077.79

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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.