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Finding the Fourth Proportional to 299,388.64, 449,074.32 and 77,772.64

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Solution

The fourth proportional to 299,388.64, 449,074.32 and 77,772.64 is: 116,656.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,388.64 : 449,074.32 = 77,772.64 : x
  2. Step 2: Convert to fraction form
    299,388.64/449,074.32 = 77,772.64/x
  3. Step 3: Cross multiply
    299,388.64x = 449,074.32 × 77,772.64
  4. Step 4: Simplify right side
    299,388.64x = 34,925,695,422.60
  5. Step 5: Solve for x
    x = 34,925,695,422.60/299,388.64
  6. Step 6: Final answer
    x = 116,656.72

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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.