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Finding the Fourth Proportional to 299,497.50, 449,311.86 and 112,509

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Solution

The fourth proportional to 299,497.50, 449,311.86 and 112,509 is: 168,788.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,497.50 : 449,311.86 = 112,509 : x
  2. Step 2: Convert to fraction form
    299,497.50/449,311.86 = 112,509/x
  3. Step 3: Cross multiply
    299,497.50x = 449,311.86 × 112,509
  4. Step 4: Simplify right side
    299,497.50x = 50,551,628,056.74
  5. Step 5: Solve for x
    x = 50,551,628,056.74/299,497.50
  6. Step 6: Final answer
    x = 168,788.15

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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.