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Finding the Fourth Proportional to 442,887,605.40, 664,331,408.10 and 410,638,978.20

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Solution

The fourth proportional to 442,887,605.40, 664,331,408.10 and 410,638,978.20 is: 615,958,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,887,605.40 : 664,331,408.10 = 410,638,978.20 : x
  2. Step 2: Convert to fraction form
    442,887,605.40/664,331,408.10 = 410,638,978.20/x
  3. Step 3: Cross multiply
    442,887,605.40x = 664,331,408.10 × 410,638,978.20
  4. Step 4: Simplify right side
    442,887,605.40x = 272,800,370,608,351,200
  5. Step 5: Solve for x
    x = 272,800,370,608,351,200/442,887,605.40
  6. Step 6: Final answer
    x = 615,958,467.30

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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.