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Finding the Fourth Proportional to 351,980.83, 485,743.11 and 199,041.90

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Solution

The fourth proportional to 351,980.83, 485,743.11 and 199,041.90 is: 274,683.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,980.83 : 485,743.11 = 199,041.90 : x
  2. Step 2: Convert to fraction form
    351,980.83/485,743.11 = 199,041.90/x
  3. Step 3: Cross multiply
    351,980.83x = 485,743.11 × 199,041.90
  4. Step 4: Simplify right side
    351,980.83x = 96,683,231,526.31
  5. Step 5: Solve for x
    x = 96,683,231,526.31/351,980.83
  6. Step 6: Final answer
    x = 274,683.23

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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.