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Finding the Fourth Proportional to 567,308.90, 782,872.79 and 309,194

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Solution

The fourth proportional to 567,308.90, 782,872.79 and 309,194 is: 426,680.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,308.90 : 782,872.79 = 309,194 : x
  2. Step 2: Convert to fraction form
    567,308.90/782,872.79 = 309,194/x
  3. Step 3: Cross multiply
    567,308.90x = 782,872.79 × 309,194
  4. Step 4: Simplify right side
    567,308.90x = 242,059,569,431.26
  5. Step 5: Solve for x
    x = 242,059,569,431.26/567,308.90
  6. Step 6: Final answer
    x = 426,680.37

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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.