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Finding the Fourth Proportional to 299,889,999.90, 449,834,999.85 and 239,423,823.90

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Solution

The fourth proportional to 299,889,999.90, 449,834,999.85 and 239,423,823.90 is: 359,135,735.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,889,999.90 : 449,834,999.85 = 239,423,823.90 : x
  2. Step 2: Convert to fraction form
    299,889,999.90/449,834,999.85 = 239,423,823.90/x
  3. Step 3: Cross multiply
    299,889,999.90x = 449,834,999.85 × 239,423,823.90
  4. Step 4: Simplify right side
    299,889,999.90x = 107,701,215,788,142,928
  5. Step 5: Solve for x
    x = 107,701,215,788,142,928/299,889,999.90
  6. Step 6: Final answer
    x = 359,135,735.85

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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.