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Finding the Fourth Proportional to 289,883.69, 434,855.31 and 100,343.76

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Solution

The fourth proportional to 289,883.69, 434,855.31 and 100,343.76 is: 150,525.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,883.69 : 434,855.31 = 100,343.76 : x
  2. Step 2: Convert to fraction form
    289,883.69/434,855.31 = 100,343.76/x
  3. Step 3: Cross multiply
    289,883.69x = 434,855.31 × 100,343.76
  4. Step 4: Simplify right side
    289,883.69x = 43,635,016,359.65
  5. Step 5: Solve for x
    x = 43,635,016,359.65/289,883.69
  6. Step 6: Final answer
    x = 150,525.94

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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.