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Finding the Fourth Proportional to 419,858.96, 579,384.43 and 238,546.94

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Solution

The fourth proportional to 419,858.96, 579,384.43 and 238,546.94 is: 329,182.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,858.96 : 579,384.43 = 238,546.94 : x
  2. Step 2: Convert to fraction form
    419,858.96/579,384.43 = 238,546.94/x
  3. Step 3: Cross multiply
    419,858.96x = 579,384.43 × 238,546.94
  4. Step 4: Simplify right side
    419,858.96x = 138,210,379,366.86
  5. Step 5: Solve for x
    x = 138,210,379,366.86/419,858.96
  6. Step 6: Final answer
    x = 329,182.88

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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.