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Finding the Fourth Proportional to 393,211.44, 542,626.61 and 221,129.36

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Solution

The fourth proportional to 393,211.44, 542,626.61 and 221,129.36 is: 305,155.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,211.44 : 542,626.61 = 221,129.36 : x
  2. Step 2: Convert to fraction form
    393,211.44/542,626.61 = 221,129.36/x
  3. Step 3: Cross multiply
    393,211.44x = 542,626.61 × 221,129.36
  4. Step 4: Simplify right side
    393,211.44x = 119,990,671,169.49
  5. Step 5: Solve for x
    x = 119,990,671,169.49/393,211.44
  6. Step 6: Final answer
    x = 305,155.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.