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Finding the Fourth Proportional to 682,578.80, 1,024,710.60 and 429,858.80

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Solution

The fourth proportional to 682,578.80, 1,024,710.60 and 429,858.80 is: 645,318.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,578.80 : 1,024,710.60 = 429,858.80 : x
  2. Step 2: Convert to fraction form
    682,578.80/1,024,710.60 = 429,858.80/x
  3. Step 3: Cross multiply
    682,578.80x = 1,024,710.60 × 429,858.80
  4. Step 4: Simplify right side
    682,578.80x = 440,480,868,863.28
  5. Step 5: Solve for x
    x = 440,480,868,863.28/682,578.80
  6. Step 6: Final answer
    x = 645,318.71

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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.