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Finding the Fourth Proportional to 289,735.46, 434,596.56 and 76,518.41

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Solution

The fourth proportional to 289,735.46, 434,596.56 and 76,518.41 is: 114,775.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,735.46 : 434,596.56 = 76,518.41 : x
  2. Step 2: Convert to fraction form
    289,735.46/434,596.56 = 76,518.41/x
  3. Step 3: Cross multiply
    289,735.46x = 434,596.56 × 76,518.41
  4. Step 4: Simplify right side
    289,735.46x = 33,254,635,302.74
  5. Step 5: Solve for x
    x = 33,254,635,302.74/289,735.46
  6. Step 6: Final answer
    x = 114,775.86

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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.