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Finding the Fourth Proportional to 613,008,543.60, 919,512,815.40 and 321,763,129.20

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Solution

The fourth proportional to 613,008,543.60, 919,512,815.40 and 321,763,129.20 is: 482,644,693.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,008,543.60 : 919,512,815.40 = 321,763,129.20 : x
  2. Step 2: Convert to fraction form
    613,008,543.60/919,512,815.40 = 321,763,129.20/x
  3. Step 3: Cross multiply
    613,008,543.60x = 919,512,815.40 × 321,763,129.20
  4. Step 4: Simplify right side
    613,008,543.60x = 295,865,320,822,605,952
  5. Step 5: Solve for x
    x = 295,865,320,822,605,952/613,008,543.60
  6. Step 6: Final answer
    x = 482,644,693.80

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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.