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Finding the Fourth Proportional to 646,953,916.90, 969,443,394.54 and 384,120,896.80

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Solution

The fourth proportional to 646,953,916.90, 969,443,394.54 and 384,120,896.80 is: 575,595,040.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,953,916.90 : 969,443,394.54 = 384,120,896.80 : x
  2. Step 2: Convert to fraction form
    646,953,916.90/969,443,394.54 = 384,120,896.80/x
  3. Step 3: Cross multiply
    646,953,916.90x = 969,443,394.54 × 384,120,896.80
  4. Step 4: Simplify right side
    646,953,916.90x = 372,383,466,107,540,992
  5. Step 5: Solve for x
    x = 372,383,466,107,540,992/646,953,916.90
  6. Step 6: Final answer
    x = 575,595,040.67

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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.