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Finding the Fourth Proportional to 256,672.35, 385,063.47 and 76,771.89

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Solution

The fourth proportional to 256,672.35, 385,063.47 and 76,771.89 is: 115,174.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,672.35 : 385,063.47 = 76,771.89 : x
  2. Step 2: Convert to fraction form
    256,672.35/385,063.47 = 76,771.89/x
  3. Step 3: Cross multiply
    256,672.35x = 385,063.47 × 76,771.89
  4. Step 4: Simplify right side
    256,672.35x = 29,562,050,361.86
  5. Step 5: Solve for x
    x = 29,562,050,361.86/256,672.35
  6. Step 6: Final answer
    x = 115,174.27

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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.