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Finding the Fourth Proportional to 299,705.88, 449,460 and 99,971.22

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Solution

The fourth proportional to 299,705.88, 449,460 and 99,971.22 is: 149,923.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,705.88 : 449,460 = 99,971.22 : x
  2. Step 2: Convert to fraction form
    299,705.88/449,460 = 99,971.22/x
  3. Step 3: Cross multiply
    299,705.88x = 449,460 × 99,971.22
  4. Step 4: Simplify right side
    299,705.88x = 44,933,064,541.20
  5. Step 5: Solve for x
    x = 44,933,064,541.20/299,705.88
  6. Step 6: Final answer
    x = 149,923.87

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1.5x scale

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.