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Finding the Fourth Proportional to 304,347.30, 420,089.70 and 196,914.60

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Solution

The fourth proportional to 304,347.30, 420,089.70 and 196,914.60 is: 271,800.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,347.30 : 420,089.70 = 196,914.60 : x
  2. Step 2: Convert to fraction form
    304,347.30/420,089.70 = 196,914.60/x
  3. Step 3: Cross multiply
    304,347.30x = 420,089.70 × 196,914.60
  4. Step 4: Simplify right side
    304,347.30x = 82,721,795,239.62
  5. Step 5: Solve for x
    x = 82,721,795,239.62/304,347.30
  6. Step 6: Final answer
    x = 271,800.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.