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Finding the Fourth Proportional to 256,518.82, 384,679.68 and 106,829.74

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Solution

The fourth proportional to 256,518.82, 384,679.68 and 106,829.74 is: 160,203.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,518.82 : 384,679.68 = 106,829.74 : x
  2. Step 2: Convert to fraction form
    256,518.82/384,679.68 = 106,829.74/x
  3. Step 3: Cross multiply
    256,518.82x = 384,679.68 × 106,829.74
  4. Step 4: Simplify right side
    256,518.82x = 41,095,230,197.68
  5. Step 5: Solve for x
    x = 41,095,230,197.68/256,518.82
  6. Step 6: Final answer
    x = 160,203.57

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1.5x scale

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.