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Finding the Fourth Proportional to 460,431.34, 635,493.27 and 309,440.86

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Solution

The fourth proportional to 460,431.34, 635,493.27 and 309,440.86 is: 427,094.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,431.34 : 635,493.27 = 309,440.86 : x
  2. Step 2: Convert to fraction form
    460,431.34/635,493.27 = 309,440.86/x
  3. Step 3: Cross multiply
    460,431.34x = 635,493.27 × 309,440.86
  4. Step 4: Simplify right side
    460,431.34x = 196,647,583,993.01
  5. Step 5: Solve for x
    x = 196,647,583,993.01/460,431.34
  6. Step 6: Final answer
    x = 427,094.26

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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.