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Finding the Fourth Proportional to 299,905.40, 449,858.10 and 78,289.40

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Solution

The fourth proportional to 299,905.40, 449,858.10 and 78,289.40 is: 117,434.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,905.40 : 449,858.10 = 78,289.40 : x
  2. Step 2: Convert to fraction form
    299,905.40/449,858.10 = 78,289.40/x
  3. Step 3: Cross multiply
    299,905.40x = 449,858.10 × 78,289.40
  4. Step 4: Simplify right side
    299,905.40x = 35,219,120,734.14
  5. Step 5: Solve for x
    x = 35,219,120,734.14/299,905.40
  6. Step 6: Final answer
    x = 117,434.10

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1.5x scale

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.