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Finding the Fourth Proportional to 299,525.64, 449,279.82 and 77,909.64

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Solution

The fourth proportional to 299,525.64, 449,279.82 and 77,909.64 is: 116,862.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,525.64 : 449,279.82 = 77,909.64 : x
  2. Step 2: Convert to fraction form
    299,525.64/449,279.82 = 77,909.64/x
  3. Step 3: Cross multiply
    299,525.64x = 449,279.82 × 77,909.64
  4. Step 4: Simplify right side
    299,525.64x = 35,003,229,035.46
  5. Step 5: Solve for x
    x = 35,003,229,035.46/299,525.64
  6. Step 6: Final answer
    x = 116,862.21

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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.