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Finding the Fourth Proportional to 647,608,489.98, 971,480,774.97 and 210,943,218.30

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Solution

The fourth proportional to 647,608,489.98, 971,480,774.97 and 210,943,218.30 is: 316,436,989.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,608,489.98 : 971,480,774.97 = 210,943,218.30 : x
  2. Step 2: Convert to fraction form
    647,608,489.98/971,480,774.97 = 210,943,218.30/x
  3. Step 3: Cross multiply
    647,608,489.98x = 971,480,774.97 × 210,943,218.30
  4. Step 4: Simplify right side
    647,608,489.98x = 204,927,281,188,749,888
  5. Step 5: Solve for x
    x = 204,927,281,188,749,888/647,608,489.98
  6. Step 6: Final answer
    x = 316,436,989.88

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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.