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Finding the Fourth Proportional to 256,975.38, 385,241.58 and 99,314.46

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Solution

The fourth proportional to 256,975.38, 385,241.58 and 99,314.46 is: 148,886.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,975.38 : 385,241.58 = 99,314.46 : x
  2. Step 2: Convert to fraction form
    256,975.38/385,241.58 = 99,314.46/x
  3. Step 3: Cross multiply
    256,975.38x = 385,241.58 × 99,314.46
  4. Step 4: Simplify right side
    256,975.38x = 38,260,059,487.25
  5. Step 5: Solve for x
    x = 38,260,059,487.25/256,975.38
  6. Step 6: Final answer
    x = 148,886.09

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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.