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Finding the Fourth Proportional to 538,404.22, 743,002.80 and 296,695.44

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Solution

The fourth proportional to 538,404.22, 743,002.80 and 296,695.44 is: 409,442.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,404.22 : 743,002.80 = 296,695.44 : x
  2. Step 2: Convert to fraction form
    538,404.22/743,002.80 = 296,695.44/x
  3. Step 3: Cross multiply
    538,404.22x = 743,002.80 × 296,695.44
  4. Step 4: Simplify right side
    538,404.22x = 220,445,542,109.35
  5. Step 5: Solve for x
    x = 220,445,542,109.35/538,404.22
  6. Step 6: Final answer
    x = 409,442.45

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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.