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Finding the Fourth Proportional to 446,822.40, 670,233.60 and 427,468.80

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Solution

The fourth proportional to 446,822.40, 670,233.60 and 427,468.80 is: 641,203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,822.40 : 670,233.60 = 427,468.80 : x
  2. Step 2: Convert to fraction form
    446,822.40/670,233.60 = 427,468.80/x
  3. Step 3: Cross multiply
    446,822.40x = 670,233.60 × 427,468.80
  4. Step 4: Simplify right side
    446,822.40x = 286,503,952,711.68
  5. Step 5: Solve for x
    x = 286,503,952,711.68/446,822.40
  6. Step 6: Final answer
    x = 641,203.20

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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.