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Finding the Fourth Proportional to 256,808.26, 385,073.19 and 142,991.14

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Solution

The fourth proportional to 256,808.26, 385,073.19 and 142,991.14 is: 214,409.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,808.26 : 385,073.19 = 142,991.14 : x
  2. Step 2: Convert to fraction form
    256,808.26/385,073.19 = 142,991.14/x
  3. Step 3: Cross multiply
    256,808.26x = 385,073.19 × 142,991.14
  4. Step 4: Simplify right side
    256,808.26x = 55,062,054,421.54
  5. Step 5: Solve for x
    x = 55,062,054,421.54/256,808.26
  6. Step 6: Final answer
    x = 214,409.20

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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.