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Finding the Fourth Proportional to 538,689.54, 743,391.60 and 309,261.70

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Solution

The fourth proportional to 538,689.54, 743,391.60 and 309,261.70 is: 426,781.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,689.54 : 743,391.60 = 309,261.70 : x
  2. Step 2: Convert to fraction form
    538,689.54/743,391.60 = 309,261.70/x
  3. Step 3: Cross multiply
    538,689.54x = 743,391.60 × 309,261.70
  4. Step 4: Simplify right side
    538,689.54x = 229,902,546,439.45
  5. Step 5: Solve for x
    x = 229,902,546,439.45/538,689.54
  6. Step 6: Final answer
    x = 426,781.16

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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.