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Finding the Fourth Proportional to 419,964.70, 579,548.37 and 238,662.40

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Solution

The fourth proportional to 419,964.70, 579,548.37 and 238,662.40 is: 329,352.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,964.70 : 579,548.37 = 238,662.40 : x
  2. Step 2: Convert to fraction form
    419,964.70/579,548.37 = 238,662.40/x
  3. Step 3: Cross multiply
    419,964.70x = 579,548.37 × 238,662.40
  4. Step 4: Simplify right side
    419,964.70x = 138,316,404,900.29
  5. Step 5: Solve for x
    x = 138,316,404,900.29/419,964.70
  6. Step 6: Final answer
    x = 329,352.45

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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.