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Finding the Fourth Proportional to 299,094.40, 448,544.40 and 99,380.80

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Solution

The fourth proportional to 299,094.40, 448,544.40 and 99,380.80 is: 149,038.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,094.40 : 448,544.40 = 99,380.80 : x
  2. Step 2: Convert to fraction form
    299,094.40/448,544.40 = 99,380.80/x
  3. Step 3: Cross multiply
    299,094.40x = 448,544.40 × 99,380.80
  4. Step 4: Simplify right side
    299,094.40x = 44,576,701,307.52
  5. Step 5: Solve for x
    x = 44,576,701,307.52/299,094.40
  6. Step 6: Final answer
    x = 149,038.90

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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.