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Finding the Fourth Proportional to 538,455, 743,072.88 and 296,746.24

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Solution

The fourth proportional to 538,455, 743,072.88 and 296,746.24 is: 409,512.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,455 : 743,072.88 = 296,746.24 : x
  2. Step 2: Convert to fraction form
    538,455/743,072.88 = 296,746.24/x
  3. Step 3: Cross multiply
    538,455x = 743,072.88 × 296,746.24
  4. Step 4: Simplify right side
    538,455x = 220,504,083,185.97
  5. Step 5: Solve for x
    x = 220,504,083,185.97/538,455
  6. Step 6: Final answer
    x = 409,512.56

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1.5x scale

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.