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Finding the Fourth Proportional to 299,114.98, 448,575.40 and 99,381.75

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Solution

The fourth proportional to 299,114.98, 448,575.40 and 99,381.75 is: 149,040.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,114.98 : 448,575.40 = 99,381.75 : x
  2. Step 2: Convert to fraction form
    299,114.98/448,575.40 = 99,381.75/x
  3. Step 3: Cross multiply
    299,114.98x = 448,575.40 × 99,381.75
  4. Step 4: Simplify right side
    299,114.98x = 44,580,208,258.95
  5. Step 5: Solve for x
    x = 44,580,208,258.95/299,114.98
  6. Step 6: Final answer
    x = 149,040.37

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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.