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Finding the Fourth Proportional to 346,972.62, 520,104.42 and 196,896

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Solution

The fourth proportional to 346,972.62, 520,104.42 and 196,896 is: 295,142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,972.62 : 520,104.42 = 196,896 : x
  2. Step 2: Convert to fraction form
    346,972.62/520,104.42 = 196,896/x
  3. Step 3: Cross multiply
    346,972.62x = 520,104.42 × 196,896
  4. Step 4: Simplify right side
    346,972.62x = 102,406,479,880.32
  5. Step 5: Solve for x
    x = 102,406,479,880.32/346,972.62
  6. Step 6: Final answer
    x = 295,142.83

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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.