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Finding the Fourth Proportional to 299,756.95, 449,857.16 and 141,985.75

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Solution

The fourth proportional to 299,756.95, 449,857.16 and 141,985.75 is: 213,083.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,756.95 : 449,857.16 = 141,985.75 : x
  2. Step 2: Convert to fraction form
    299,756.95/449,857.16 = 141,985.75/x
  3. Step 3: Cross multiply
    299,756.95x = 449,857.16 × 141,985.75
  4. Step 4: Simplify right side
    299,756.95x = 63,873,306,255.47
  5. Step 5: Solve for x
    x = 63,873,306,255.47/299,756.95
  6. Step 6: Final answer
    x = 213,083.65

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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.