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Finding the Fourth Proportional to 299,904,019.20, 448,960,233.60 and 178,673,068.80

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Solution

The fourth proportional to 299,904,019.20, 448,960,233.60 and 178,673,068.80 is: 267,475,917.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,904,019.20 : 448,960,233.60 = 178,673,068.80 : x
  2. Step 2: Convert to fraction form
    299,904,019.20/448,960,233.60 = 178,673,068.80/x
  3. Step 3: Cross multiply
    299,904,019.20x = 448,960,233.60 × 178,673,068.80
  4. Step 4: Simplify right side
    299,904,019.20x = 80,217,102,706,476,880
  5. Step 5: Solve for x
    x = 80,217,102,706,476,880/299,904,019.20
  6. Step 6: Final answer
    x = 267,475,917.53

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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.