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Finding the Fourth Proportional to 654,121,774.60, 980,679,754.74 and 338,649,617.14

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Solution

The fourth proportional to 654,121,774.60, 980,679,754.74 and 338,649,617.14 is: 507,714,062.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,121,774.60 : 980,679,754.74 = 338,649,617.14 : x
  2. Step 2: Convert to fraction form
    654,121,774.60/980,679,754.74 = 338,649,617.14/x
  3. Step 3: Cross multiply
    654,121,774.60x = 980,679,754.74 × 338,649,617.14
  4. Step 4: Simplify right side
    654,121,774.60x = 332,106,823,479,650,112
  5. Step 5: Solve for x
    x = 332,106,823,479,650,112/654,121,774.60
  6. Step 6: Final answer
    x = 507,714,062.39

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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.