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Finding the Fourth Proportional to 299,967.06, 449,974.50 and 100,288.47

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Solution

The fourth proportional to 299,967.06, 449,974.50 and 100,288.47 is: 150,440.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,967.06 : 449,974.50 = 100,288.47 : x
  2. Step 2: Convert to fraction form
    299,967.06/449,974.50 = 100,288.47/x
  3. Step 3: Cross multiply
    299,967.06x = 449,974.50 × 100,288.47
  4. Step 4: Simplify right side
    299,967.06x = 45,127,254,144.02
  5. Step 5: Solve for x
    x = 45,127,254,144.02/299,967.06
  6. Step 6: Final answer
    x = 150,440.70

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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.