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Finding the Fourth Proportional to 538,473.56, 743,128.58 and 309,105.09

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Solution

The fourth proportional to 538,473.56, 743,128.58 and 309,105.09 is: 426,585.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,473.56 : 743,128.58 = 309,105.09 : x
  2. Step 2: Convert to fraction form
    538,473.56/743,128.58 = 309,105.09/x
  3. Step 3: Cross multiply
    538,473.56x = 743,128.58 × 309,105.09
  4. Step 4: Simplify right side
    538,473.56x = 229,704,825,056.95
  5. Step 5: Solve for x
    x = 229,704,825,056.95/538,473.56
  6. Step 6: Final answer
    x = 426,585.16

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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.