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Finding the Fourth Proportional to 346,971.62, 520,102.92 and 196,895

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Solution

The fourth proportional to 346,971.62, 520,102.92 and 196,895 is: 295,141.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,971.62 : 520,102.92 = 196,895 : x
  2. Step 2: Convert to fraction form
    346,971.62/520,102.92 = 196,895/x
  3. Step 3: Cross multiply
    346,971.62x = 520,102.92 × 196,895
  4. Step 4: Simplify right side
    346,971.62x = 102,405,664,433.40
  5. Step 5: Solve for x
    x = 102,405,664,433.40/346,971.62
  6. Step 6: Final answer
    x = 295,141.33

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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.