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Finding the Fourth Proportional to 256,804.27, 385,316.68 and 99,143.44

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Solution

The fourth proportional to 256,804.27, 385,316.68 and 99,143.44 is: 148,757.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,804.27 : 385,316.68 = 99,143.44 : x
  2. Step 2: Convert to fraction form
    256,804.27/385,316.68 = 99,143.44/x
  3. Step 3: Cross multiply
    256,804.27x = 385,316.68 × 99,143.44
  4. Step 4: Simplify right side
    256,804.27x = 38,201,621,144.58
  5. Step 5: Solve for x
    x = 38,201,621,144.58/256,804.27
  6. Step 6: Final answer
    x = 148,757.73

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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.