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Finding the Fourth Proportional to 538,814, 743,549.10 and 297,092.54

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Solution

The fourth proportional to 538,814, 743,549.10 and 297,092.54 is: 409,979.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,814 : 743,549.10 = 297,092.54 : x
  2. Step 2: Convert to fraction form
    538,814/743,549.10 = 297,092.54/x
  3. Step 3: Cross multiply
    538,814x = 743,549.10 × 297,092.54
  4. Step 4: Simplify right side
    538,814x = 220,902,890,733.71
  5. Step 5: Solve for x
    x = 220,902,890,733.71/538,814
  6. Step 6: Final answer
    x = 409,979.86

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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.