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Finding the Fourth Proportional to 538,208.91, 743,483.74 and 509,865.39

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Solution

The fourth proportional to 538,208.91, 743,483.74 and 509,865.39 is: 704,329.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,208.91 : 743,483.74 = 509,865.39 : x
  2. Step 2: Convert to fraction form
    538,208.91/743,483.74 = 509,865.39/x
  3. Step 3: Cross multiply
    538,208.91x = 743,483.74 × 509,865.39
  4. Step 4: Simplify right side
    538,208.91x = 379,076,629,523.16
  5. Step 5: Solve for x
    x = 379,076,629,523.16/538,208.91
  6. Step 6: Final answer
    x = 704,329.90

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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.