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Finding the Fourth Proportional to 299,918.40, 449,877.60 and 78,302.40

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Solution

The fourth proportional to 299,918.40, 449,877.60 and 78,302.40 is: 117,453.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,918.40 : 449,877.60 = 78,302.40 : x
  2. Step 2: Convert to fraction form
    299,918.40/449,877.60 = 78,302.40/x
  3. Step 3: Cross multiply
    299,918.40x = 449,877.60 × 78,302.40
  4. Step 4: Simplify right side
    299,918.40x = 35,226,495,786.24
  5. Step 5: Solve for x
    x = 35,226,495,786.24/299,918.40
  6. Step 6: Final answer
    x = 117,453.60

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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.