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Finding the Fourth Proportional to 299,657.09, 449,706.77 and 141,885.29

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Solution

The fourth proportional to 299,657.09, 449,706.77 and 141,885.29 is: 212,932.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,657.09 : 449,706.77 = 141,885.29 : x
  2. Step 2: Convert to fraction form
    299,657.09/449,706.77 = 141,885.29/x
  3. Step 3: Cross multiply
    299,657.09x = 449,706.77 × 141,885.29
  4. Step 4: Simplify right side
    299,657.09x = 63,806,772,518.45
  5. Step 5: Solve for x
    x = 63,806,772,518.45/299,657.09
  6. Step 6: Final answer
    x = 212,932.63

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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.