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Finding the Fourth Proportional to 376,581.16, 519,684.42 and 206,813.80

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Solution

The fourth proportional to 376,581.16, 519,684.42 and 206,813.80 is: 285,404.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,581.16 : 519,684.42 = 206,813.80 : x
  2. Step 2: Convert to fraction form
    376,581.16/519,684.42 = 206,813.80/x
  3. Step 3: Cross multiply
    376,581.16x = 519,684.42 × 206,813.80
  4. Step 4: Simplify right side
    376,581.16x = 107,477,909,701.00
  5. Step 5: Solve for x
    x = 107,477,909,701.00/376,581.16
  6. Step 6: Final answer
    x = 285,404.37

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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.