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Finding the Fourth Proportional to 647,692,536.88, 971,538,043.92 and 210,992,506.48

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Solution

The fourth proportional to 647,692,536.88, 971,538,043.92 and 210,992,506.48 is: 316,488,511.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,692,536.88 : 971,538,043.92 = 210,992,506.48 : x
  2. Step 2: Convert to fraction form
    647,692,536.88/971,538,043.92 = 210,992,506.48/x
  3. Step 3: Cross multiply
    647,692,536.88x = 971,538,043.92 × 210,992,506.48
  4. Step 4: Simplify right side
    647,692,536.88x = 204,987,247,027,357,120
  5. Step 5: Solve for x
    x = 204,987,247,027,357,120/647,692,536.88
  6. Step 6: Final answer
    x = 316,488,511.69

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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.