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Finding the Fourth Proportional to 406,598,421.60, 561,104,301.60 and 230,419,987.20

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Solution

The fourth proportional to 406,598,421.60, 561,104,301.60 and 230,419,987.20 is: 317,978,720.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,598,421.60 : 561,104,301.60 = 230,419,987.20 : x
  2. Step 2: Convert to fraction form
    406,598,421.60/561,104,301.60 = 230,419,987.20/x
  3. Step 3: Cross multiply
    406,598,421.60x = 561,104,301.60 × 230,419,987.20
  4. Step 4: Simplify right side
    406,598,421.60x = 129,289,645,992,536,944
  5. Step 5: Solve for x
    x = 129,289,645,992,536,944/406,598,421.60
  6. Step 6: Final answer
    x = 317,978,720.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.