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Finding the Fourth Proportional to 256,613.87, 384,986.42 and 106,804.37

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Solution

The fourth proportional to 256,613.87, 384,986.42 and 106,804.37 is: 160,233.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,613.87 : 384,986.42 = 106,804.37 : x
  2. Step 2: Convert to fraction form
    256,613.87/384,986.42 = 106,804.37/x
  3. Step 3: Cross multiply
    256,613.87x = 384,986.42 × 106,804.37
  4. Step 4: Simplify right side
    256,613.87x = 41,118,232,875.62
  5. Step 5: Solve for x
    x = 41,118,232,875.62/256,613.87
  6. Step 6: Final answer
    x = 160,233.87

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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.