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Finding the Fourth Proportional to 289,948.44, 434,818.36 and 100,357.31

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Solution

The fourth proportional to 289,948.44, 434,818.36 and 100,357.31 is: 150,499.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,948.44 : 434,818.36 = 100,357.31 : x
  2. Step 2: Convert to fraction form
    289,948.44/434,818.36 = 100,357.31/x
  3. Step 3: Cross multiply
    289,948.44x = 434,818.36 × 100,357.31
  4. Step 4: Simplify right side
    289,948.44x = 43,637,202,160.70
  5. Step 5: Solve for x
    x = 43,637,202,160.70/289,948.44
  6. Step 6: Final answer
    x = 150,499.87

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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.