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Finding the Fourth Proportional to 299,993, 450,013.40 and 100,314.64

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Solution

The fourth proportional to 299,993, 450,013.40 and 100,314.64 is: 150,479.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,993 : 450,013.40 = 100,314.64 : x
  2. Step 2: Convert to fraction form
    299,993/450,013.40 = 100,314.64/x
  3. Step 3: Cross multiply
    299,993x = 450,013.40 × 100,314.64
  4. Step 4: Simplify right side
    299,993x = 45,142,932,216.18
  5. Step 5: Solve for x
    x = 45,142,932,216.18/299,993
  6. Step 6: Final answer
    x = 150,479.95

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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.