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Finding the Fourth Proportional to 202,407.90, 303,611.85 and 199,643.10

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Solution

The fourth proportional to 202,407.90, 303,611.85 and 199,643.10 is: 299,464.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,407.90 : 303,611.85 = 199,643.10 : x
  2. Step 2: Convert to fraction form
    202,407.90/303,611.85 = 199,643.10/x
  3. Step 3: Cross multiply
    202,407.90x = 303,611.85 × 199,643.10
  4. Step 4: Simplify right side
    202,407.90x = 60,614,010,930.74
  5. Step 5: Solve for x
    x = 60,614,010,930.74/202,407.90
  6. Step 6: Final answer
    x = 299,464.65

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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.