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Finding the Fourth Proportional to 346,970.62, 520,101.42 and 196,894

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Solution

The fourth proportional to 346,970.62, 520,101.42 and 196,894 is: 295,139.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,970.62 : 520,101.42 = 196,894 : x
  2. Step 2: Convert to fraction form
    346,970.62/520,101.42 = 196,894/x
  3. Step 3: Cross multiply
    346,970.62x = 520,101.42 × 196,894
  4. Step 4: Simplify right side
    346,970.62x = 102,404,848,989.48
  5. Step 5: Solve for x
    x = 102,404,848,989.48/346,970.62
  6. Step 6: Final answer
    x = 295,139.83

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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.