Home / 683,690.81-1,022,934.17-412,821.95

Finding the Fourth Proportional to 683,690.81, 1,022,934.17 and 412,821.95

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Solution

The fourth proportional to 683,690.81, 1,022,934.17 and 412,821.95 is: 617,661.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,690.81 : 1,022,934.17 = 412,821.95 : x
  2. Step 2: Convert to fraction form
    683,690.81/1,022,934.17 = 412,821.95/x
  3. Step 3: Cross multiply
    683,690.81x = 1,022,934.17 × 412,821.95
  4. Step 4: Simplify right side
    683,690.81x = 422,289,671,602.25
  5. Step 5: Solve for x
    x = 422,289,671,602.25/683,690.81
  6. Step 6: Final answer
    x = 617,661.77

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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.