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Finding the Fourth Proportional to 628,314.90, 942,559.96 and 201,863.66

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Solution

The fourth proportional to 628,314.90, 942,559.96 and 201,863.66 is: 302,823.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,314.90 : 942,559.96 = 201,863.66 : x
  2. Step 2: Convert to fraction form
    628,314.90/942,559.96 = 201,863.66/x
  3. Step 3: Cross multiply
    628,314.90x = 942,559.96 × 201,863.66
  4. Step 4: Simplify right side
    628,314.90x = 190,268,603,295.05
  5. Step 5: Solve for x
    x = 190,268,603,295.05/628,314.90
  6. Step 6: Final answer
    x = 302,823.64

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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.