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Finding the Fourth Proportional to 683,100.80, 1,024,651.20 and 328,029.20

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Solution

The fourth proportional to 683,100.80, 1,024,651.20 and 328,029.20 is: 492,043.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,100.80 : 1,024,651.20 = 328,029.20 : x
  2. Step 2: Convert to fraction form
    683,100.80/1,024,651.20 = 328,029.20/x
  3. Step 3: Cross multiply
    683,100.80x = 1,024,651.20 × 328,029.20
  4. Step 4: Simplify right side
    683,100.80x = 336,115,513,415.04
  5. Step 5: Solve for x
    x = 336,115,513,415.04/683,100.80
  6. Step 6: Final answer
    x = 492,043.80

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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.