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Finding the Fourth Proportional to 299,781.30, 449,671.98 and 83,631.59

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Solution

The fourth proportional to 299,781.30, 449,671.98 and 83,631.59 is: 125,447.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,781.30 : 449,671.98 = 83,631.59 : x
  2. Step 2: Convert to fraction form
    299,781.30/449,671.98 = 83,631.59/x
  3. Step 3: Cross multiply
    299,781.30x = 449,671.98 × 83,631.59
  4. Step 4: Simplify right side
    299,781.30x = 37,606,780,417.49
  5. Step 5: Solve for x
    x = 37,606,780,417.49/299,781.30
  6. Step 6: Final answer
    x = 125,447.39

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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.