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Finding the Fourth Proportional to 202,257.60, 303,386.40 and 199,633.20

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Solution

The fourth proportional to 202,257.60, 303,386.40 and 199,633.20 is: 299,449.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,257.60 : 303,386.40 = 199,633.20 : x
  2. Step 2: Convert to fraction form
    202,257.60/303,386.40 = 199,633.20/x
  3. Step 3: Cross multiply
    202,257.60x = 303,386.40 × 199,633.20
  4. Step 4: Simplify right side
    202,257.60x = 60,565,997,868.48
  5. Step 5: Solve for x
    x = 60,565,997,868.48/202,257.60
  6. Step 6: Final answer
    x = 299,449.80

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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.