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Finding the Fourth Proportional to 646,953,906.24, 969,443,378.40 and 384,120,885.84

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Solution

The fourth proportional to 646,953,906.24, 969,443,378.40 and 384,120,885.84 is: 575,595,024.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,953,906.24 : 969,443,378.40 = 384,120,885.84 : x
  2. Step 2: Convert to fraction form
    646,953,906.24/969,443,378.40 = 384,120,885.84/x
  3. Step 3: Cross multiply
    646,953,906.24x = 969,443,378.40 × 384,120,885.84
  4. Step 4: Simplify right side
    646,953,906.24x = 372,383,449,282,730,304
  5. Step 5: Solve for x
    x = 372,383,449,282,730,304/646,953,906.24
  6. Step 6: Final answer
    x = 575,595,024.14

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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.