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Finding the Fourth Proportional to 460,422.90, 635,481.63 and 309,432.42

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Solution

The fourth proportional to 460,422.90, 635,481.63 and 309,432.42 is: 427,082.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,422.90 : 635,481.63 = 309,432.42 : x
  2. Step 2: Convert to fraction form
    460,422.90/635,481.63 = 309,432.42/x
  3. Step 3: Cross multiply
    460,422.90x = 635,481.63 × 309,432.42
  4. Step 4: Simplify right side
    460,422.90x = 196,638,618,636.45
  5. Step 5: Solve for x
    x = 196,638,618,636.45/460,422.90
  6. Step 6: Final answer
    x = 427,082.62

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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.