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Finding the Fourth Proportional to 538,097.10, 742,579.02 and 296,380.56

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Solution

The fourth proportional to 538,097.10, 742,579.02 and 296,380.56 is: 409,007.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,097.10 : 742,579.02 = 296,380.56 : x
  2. Step 2: Convert to fraction form
    538,097.10/742,579.02 = 296,380.56/x
  3. Step 3: Cross multiply
    538,097.10x = 742,579.02 × 296,380.56
  4. Step 4: Simplify right side
    538,097.10x = 220,085,985,791.85
  5. Step 5: Solve for x
    x = 220,085,985,791.85/538,097.10
  6. Step 6: Final answer
    x = 409,007.94

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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.