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Finding the Fourth Proportional to 686,656,978.40, 1,029,985,467.60 and 611,410,181.60

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Solution

The fourth proportional to 686,656,978.40, 1,029,985,467.60 and 611,410,181.60 is: 917,115,272.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,656,978.40 : 1,029,985,467.60 = 611,410,181.60 : x
  2. Step 2: Convert to fraction form
    686,656,978.40/1,029,985,467.60 = 611,410,181.60/x
  3. Step 3: Cross multiply
    686,656,978.40x = 1,029,985,467.60 × 611,410,181.60
  4. Step 4: Simplify right side
    686,656,978.40x = 629,743,601,790,676,992
  5. Step 5: Solve for x
    x = 629,743,601,790,676,992/686,656,978.40
  6. Step 6: Final answer
    x = 917,115,272.40

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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.