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Finding the Fourth Proportional to 311,661,906.88, 430,106,091.60 and 172,430,401

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Solution

The fourth proportional to 311,661,906.88, 430,106,091.60 and 172,430,401 is: 237,960,957.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,661,906.88 : 430,106,091.60 = 172,430,401 : x
  2. Step 2: Convert to fraction form
    311,661,906.88/430,106,091.60 = 172,430,401/x
  3. Step 3: Cross multiply
    311,661,906.88x = 430,106,091.60 × 172,430,401
  4. Step 4: Simplify right side
    311,661,906.88x = 74,163,365,847,130,736
  5. Step 5: Solve for x
    x = 74,163,365,847,130,736/311,661,906.88
  6. Step 6: Final answer
    x = 237,960,957.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.