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Finding the Fourth Proportional to 299,911.40, 449,867.10 and 78,295.40

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Solution

The fourth proportional to 299,911.40, 449,867.10 and 78,295.40 is: 117,443.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,911.40 : 449,867.10 = 78,295.40 : x
  2. Step 2: Convert to fraction form
    299,911.40/449,867.10 = 78,295.40/x
  3. Step 3: Cross multiply
    299,911.40x = 449,867.10 × 78,295.40
  4. Step 4: Simplify right side
    299,911.40x = 35,222,524,541.34
  5. Step 5: Solve for x
    x = 35,222,524,541.34/299,911.40
  6. Step 6: Final answer
    x = 117,443.10

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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.