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Finding the Fourth Proportional to 427,585.84, 641,564.78 and 268,027.44

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Solution

The fourth proportional to 427,585.84, 641,564.78 and 268,027.44 is: 402,157.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,585.84 : 641,564.78 = 268,027.44 : x
  2. Step 2: Convert to fraction form
    427,585.84/641,564.78 = 268,027.44/x
  3. Step 3: Cross multiply
    427,585.84x = 641,564.78 × 268,027.44
  4. Step 4: Simplify right side
    427,585.84x = 171,956,965,577.56
  5. Step 5: Solve for x
    x = 171,956,965,577.56/427,585.84
  6. Step 6: Final answer
    x = 402,157.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.