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Finding the Fourth Proportional to 299,641.56, 449,464.50 and 75,005.88

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Solution

The fourth proportional to 299,641.56, 449,464.50 and 75,005.88 is: 112,509.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,641.56 : 449,464.50 = 75,005.88 : x
  2. Step 2: Convert to fraction form
    299,641.56/449,464.50 = 75,005.88/x
  3. Step 3: Cross multiply
    299,641.56x = 449,464.50 × 75,005.88
  4. Step 4: Simplify right side
    299,641.56x = 33,712,480,351.26
  5. Step 5: Solve for x
    x = 33,712,480,351.26/299,641.56
  6. Step 6: Final answer
    x = 112,509.36

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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.