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Finding the Fourth Proportional to 419,537.64, 578,956.74 and 228,546.96

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Solution

The fourth proportional to 419,537.64, 578,956.74 and 228,546.96 is: 315,391.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,537.64 : 578,956.74 = 228,546.96 : x
  2. Step 2: Convert to fraction form
    419,537.64/578,956.74 = 228,546.96/x
  3. Step 3: Cross multiply
    419,537.64x = 578,956.74 × 228,546.96
  4. Step 4: Simplify right side
    419,537.64x = 132,318,802,898.51
  5. Step 5: Solve for x
    x = 132,318,802,898.51/419,537.64
  6. Step 6: Final answer
    x = 315,391.97

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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.