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Finding the Fourth Proportional to 299,970.37, 449,911.31 and 110,386.70

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Solution

The fourth proportional to 299,970.37, 449,911.31 and 110,386.70 is: 165,563.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,970.37 : 449,911.31 = 110,386.70 : x
  2. Step 2: Convert to fraction form
    299,970.37/449,911.31 = 110,386.70/x
  3. Step 3: Cross multiply
    299,970.37x = 449,911.31 × 110,386.70
  4. Step 4: Simplify right side
    299,970.37x = 49,664,224,310.18
  5. Step 5: Solve for x
    x = 49,664,224,310.18/299,970.37
  6. Step 6: Final answer
    x = 165,563.77

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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.