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Finding the Fourth Proportional to 538,119, 742,604.22 and 311,895.72

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Solution

The fourth proportional to 538,119, 742,604.22 and 311,895.72 is: 430,416.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,119 : 742,604.22 = 311,895.72 : x
  2. Step 2: Convert to fraction form
    538,119/742,604.22 = 311,895.72/x
  3. Step 3: Cross multiply
    538,119x = 742,604.22 × 311,895.72
  4. Step 4: Simplify right side
    538,119x = 231,615,077,871.94
  5. Step 5: Solve for x
    x = 231,615,077,871.94/538,119
  6. Step 6: Final answer
    x = 430,416.09

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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.