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Finding the Fourth Proportional to 286,492.26, 394,858.87 and 209,848.52

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Solution

The fourth proportional to 286,492.26, 394,858.87 and 209,848.52 is: 289,224.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,492.26 : 394,858.87 = 209,848.52 : x
  2. Step 2: Convert to fraction form
    286,492.26/394,858.87 = 209,848.52/x
  3. Step 3: Cross multiply
    286,492.26x = 394,858.87 × 209,848.52
  4. Step 4: Simplify right side
    286,492.26x = 82,860,549,940.90
  5. Step 5: Solve for x
    x = 82,860,549,940.90/286,492.26
  6. Step 6: Final answer
    x = 289,224.39

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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.