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Finding the Fourth Proportional to 299,706, 449,559 and 78,090

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Solution

The fourth proportional to 299,706, 449,559 and 78,090 is: 117,135

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,706 : 449,559 = 78,090 : x
  2. Step 2: Convert to fraction form
    299,706/449,559 = 78,090/x
  3. Step 3: Cross multiply
    299,706x = 449,559 × 78,090
  4. Step 4: Simplify right side
    299,706x = 35,106,062,310
  5. Step 5: Solve for x
    x = 35,106,062,310/299,706
  6. Step 6: Final answer
    x = 117,135

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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.