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Finding the Fourth Proportional to 390,674.94, 538,945.11 and 227,331.42

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Solution

The fourth proportional to 390,674.94, 538,945.11 and 227,331.42 is: 313,608.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,674.94 : 538,945.11 = 227,331.42 : x
  2. Step 2: Convert to fraction form
    390,674.94/538,945.11 = 227,331.42/x
  3. Step 3: Cross multiply
    390,674.94x = 538,945.11 × 227,331.42
  4. Step 4: Simplify right side
    390,674.94x = 122,519,157,158.36
  5. Step 5: Solve for x
    x = 122,519,157,158.36/390,674.94
  6. Step 6: Final answer
    x = 313,608.95

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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.