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Finding the Fourth Proportional to 256,290.35, 384,291.54 and 106,429.82

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Solution

The fourth proportional to 256,290.35, 384,291.54 and 106,429.82 is: 159,584.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,290.35 : 384,291.54 = 106,429.82 : x
  2. Step 2: Convert to fraction form
    256,290.35/384,291.54 = 106,429.82/x
  3. Step 3: Cross multiply
    256,290.35x = 384,291.54 × 106,429.82
  4. Step 4: Simplify right side
    256,290.35x = 40,900,077,508.27
  5. Step 5: Solve for x
    x = 40,900,077,508.27/256,290.35
  6. Step 6: Final answer
    x = 159,584.93

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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.