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Finding the Fourth Proportional to 538,575.90, 743,200.92 and 296,845.16

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Solution

The fourth proportional to 538,575.90, 743,200.92 and 296,845.16 is: 409,627.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,575.90 : 743,200.92 = 296,845.16 : x
  2. Step 2: Convert to fraction form
    538,575.90/743,200.92 = 296,845.16/x
  3. Step 3: Cross multiply
    538,575.90x = 743,200.92 × 296,845.16
  4. Step 4: Simplify right side
    538,575.90x = 220,615,596,009.55
  5. Step 5: Solve for x
    x = 220,615,596,009.55/538,575.90
  6. Step 6: Final answer
    x = 409,627.68

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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.