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Finding the Fourth Proportional to 289,229.23, 433,742.23 and 86,764.97

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Solution

The fourth proportional to 289,229.23, 433,742.23 and 86,764.97 is: 130,116.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,229.23 : 433,742.23 = 86,764.97 : x
  2. Step 2: Convert to fraction form
    289,229.23/433,742.23 = 86,764.97/x
  3. Step 3: Cross multiply
    289,229.23x = 433,742.23 × 86,764.97
  4. Step 4: Simplify right side
    289,229.23x = 37,633,631,573.68
  5. Step 5: Solve for x
    x = 37,633,631,573.68/289,229.23
  6. Step 6: Final answer
    x = 130,116.97

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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.