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Finding the Fourth Proportional to 299,710, 449,565 and 78,094

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Solution

The fourth proportional to 299,710, 449,565 and 78,094 is: 117,141

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,710 : 449,565 = 78,094 : x
  2. Step 2: Convert to fraction form
    299,710/449,565 = 78,094/x
  3. Step 3: Cross multiply
    299,710x = 449,565 × 78,094
  4. Step 4: Simplify right side
    299,710x = 35,108,329,110
  5. Step 5: Solve for x
    x = 35,108,329,110/299,710
  6. Step 6: Final answer
    x = 117,141

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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.