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Finding the Fourth Proportional to 492,813.57, 680,078.77 and 286,101.14

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Solution

The fourth proportional to 492,813.57, 680,078.77 and 286,101.14 is: 394,817.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,813.57 : 680,078.77 = 286,101.14 : x
  2. Step 2: Convert to fraction form
    492,813.57/680,078.77 = 286,101.14/x
  3. Step 3: Cross multiply
    492,813.57x = 680,078.77 × 286,101.14
  4. Step 4: Simplify right side
    492,813.57x = 194,571,315,256.21
  5. Step 5: Solve for x
    x = 194,571,315,256.21/492,813.57
  6. Step 6: Final answer
    x = 394,817.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.