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Finding the Fourth Proportional to 286,376.85, 395,243.15 and 206,070.21

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Solution

The fourth proportional to 286,376.85, 395,243.15 and 206,070.21 is: 284,407.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,376.85 : 395,243.15 = 206,070.21 : x
  2. Step 2: Convert to fraction form
    286,376.85/395,243.15 = 206,070.21/x
  3. Step 3: Cross multiply
    286,376.85x = 395,243.15 × 206,070.21
  4. Step 4: Simplify right side
    286,376.85x = 81,447,837,891.21
  5. Step 5: Solve for x
    x = 81,447,837,891.21/286,376.85
  6. Step 6: Final answer
    x = 284,407.90

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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.