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Finding the Fourth Proportional to 538,803.45, 743,656.53 and 309,518.03

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Solution

The fourth proportional to 538,803.45, 743,656.53 and 309,518.03 is: 427,196.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,803.45 : 743,656.53 = 309,518.03 : x
  2. Step 2: Convert to fraction form
    538,803.45/743,656.53 = 309,518.03/x
  3. Step 3: Cross multiply
    538,803.45x = 743,656.53 × 309,518.03
  4. Step 4: Simplify right side
    538,803.45x = 230,175,100,443.95
  5. Step 5: Solve for x
    x = 230,175,100,443.95/538,803.45
  6. Step 6: Final answer
    x = 427,196.78

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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.