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Finding the Fourth Proportional to 289,976.20, 434,964.30 and 100,436.20

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Solution

The fourth proportional to 289,976.20, 434,964.30 and 100,436.20 is: 150,654.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,976.20 : 434,964.30 = 100,436.20 : x
  2. Step 2: Convert to fraction form
    289,976.20/434,964.30 = 100,436.20/x
  3. Step 3: Cross multiply
    289,976.20x = 434,964.30 × 100,436.20
  4. Step 4: Simplify right side
    289,976.20x = 43,686,161,427.66
  5. Step 5: Solve for x
    x = 43,686,161,427.66/289,976.20
  6. Step 6: Final answer
    x = 150,654.30

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1.5x scale

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.