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Finding the Fourth Proportional to 648,404.60, 972,023.70 and 411,625.40

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Solution

The fourth proportional to 648,404.60, 972,023.70 and 411,625.40 is: 617,067.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,404.60 : 972,023.70 = 411,625.40 : x
  2. Step 2: Convert to fraction form
    648,404.60/972,023.70 = 411,625.40/x
  3. Step 3: Cross multiply
    648,404.60x = 972,023.70 × 411,625.40
  4. Step 4: Simplify right side
    648,404.60x = 400,109,644,321.98
  5. Step 5: Solve for x
    x = 400,109,644,321.98/648,404.60
  6. Step 6: Final answer
    x = 617,067.87

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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.