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Finding the Fourth Proportional to 299,498.12, 449,311.64 and 86,264.56

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Solution

The fourth proportional to 299,498.12, 449,311.64 and 86,264.56 is: 129,415.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,498.12 : 449,311.64 = 86,264.56 : x
  2. Step 2: Convert to fraction form
    299,498.12/449,311.64 = 86,264.56/x
  3. Step 3: Cross multiply
    299,498.12x = 449,311.64 × 86,264.56
  4. Step 4: Simplify right side
    299,498.12x = 38,759,670,927.48
  5. Step 5: Solve for x
    x = 38,759,670,927.48/299,498.12
  6. Step 6: Final answer
    x = 129,415.41

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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.