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Finding the Fourth Proportional to 343,815.60, 515,942.10 and 201,660.60

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Solution

The fourth proportional to 343,815.60, 515,942.10 and 201,660.60 is: 302,619.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,815.60 : 515,942.10 = 201,660.60 : x
  2. Step 2: Convert to fraction form
    343,815.60/515,942.10 = 201,660.60/x
  3. Step 3: Cross multiply
    343,815.60x = 515,942.10 × 201,660.60
  4. Step 4: Simplify right side
    343,815.60x = 104,045,193,451.26
  5. Step 5: Solve for x
    x = 104,045,193,451.26/343,815.60
  6. Step 6: Final answer
    x = 302,619.18

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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.