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Finding the Fourth Proportional to 457,992, 632,028.96 and 256,788

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Solution

The fourth proportional to 457,992, 632,028.96 and 256,788 is: 354,367.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,992 : 632,028.96 = 256,788 : x
  2. Step 2: Convert to fraction form
    457,992/632,028.96 = 256,788/x
  3. Step 3: Cross multiply
    457,992x = 632,028.96 × 256,788
  4. Step 4: Simplify right side
    457,992x = 162,297,452,580.48
  5. Step 5: Solve for x
    x = 162,297,452,580.48/457,992
  6. Step 6: Final answer
    x = 354,367.44

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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.