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Finding the Fourth Proportional to 538,468.86, 743,122.02 and 309,100.40

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Solution

The fourth proportional to 538,468.86, 743,122.02 and 309,100.40 is: 426,578.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,468.86 : 743,122.02 = 309,100.40 : x
  2. Step 2: Convert to fraction form
    538,468.86/743,122.02 = 309,100.40/x
  3. Step 3: Cross multiply
    538,468.86x = 743,122.02 × 309,100.40
  4. Step 4: Simplify right side
    538,468.86x = 229,699,317,171.75
  5. Step 5: Solve for x
    x = 229,699,317,171.75/538,468.86
  6. Step 6: Final answer
    x = 426,578.64

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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.