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Finding the Fourth Proportional to 646,889,457.60, 969,672,837.60 and 318,860,452.80

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Solution

The fourth proportional to 646,889,457.60, 969,672,837.60 and 318,860,452.80 is: 477,964,691.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,889,457.60 : 969,672,837.60 = 318,860,452.80 : x
  2. Step 2: Convert to fraction form
    646,889,457.60/969,672,837.60 = 318,860,452.80/x
  3. Step 3: Cross multiply
    646,889,457.60x = 969,672,837.60 × 318,860,452.80
  4. Step 4: Simplify right side
    646,889,457.60x = 309,190,320,064,996,864
  5. Step 5: Solve for x
    x = 309,190,320,064,996,864/646,889,457.60
  6. Step 6: Final answer
    x = 477,964,691.54

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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.