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Finding the Fourth Proportional to 419,952.87, 579,546.59 and 256,635.81

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Solution

The fourth proportional to 419,952.87, 579,546.59 and 256,635.81 is: 354,164.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,952.87 : 579,546.59 = 256,635.81 : x
  2. Step 2: Convert to fraction form
    419,952.87/579,546.59 = 256,635.81/x
  3. Step 3: Cross multiply
    419,952.87x = 579,546.59 × 256,635.81
  4. Step 4: Simplify right side
    419,952.87x = 148,732,407,274.21
  5. Step 5: Solve for x
    x = 148,732,407,274.21/419,952.87
  6. Step 6: Final answer
    x = 354,164.52

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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.