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Finding the Fourth Proportional to 458,496,843.60, 687,745,265.40 and 313,378,021.20

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Solution

The fourth proportional to 458,496,843.60, 687,745,265.40 and 313,378,021.20 is: 470,067,031.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,496,843.60 : 687,745,265.40 = 313,378,021.20 : x
  2. Step 2: Convert to fraction form
    458,496,843.60/687,745,265.40 = 313,378,021.20/x
  3. Step 3: Cross multiply
    458,496,843.60x = 687,745,265.40 × 313,378,021.20
  4. Step 4: Simplify right side
    458,496,843.60x = 215,524,250,360,720,800
  5. Step 5: Solve for x
    x = 215,524,250,360,720,800/458,496,843.60
  6. Step 6: Final answer
    x = 470,067,031.80

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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.