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Finding the Fourth Proportional to 271,765.70, 407,648.61 and 84,777.20

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Solution

The fourth proportional to 271,765.70, 407,648.61 and 84,777.20 is: 127,165.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,765.70 : 407,648.61 = 84,777.20 : x
  2. Step 2: Convert to fraction form
    271,765.70/407,648.61 = 84,777.20/x
  3. Step 3: Cross multiply
    271,765.70x = 407,648.61 × 84,777.20
  4. Step 4: Simplify right side
    271,765.70x = 34,559,305,701.45
  5. Step 5: Solve for x
    x = 34,559,305,701.45/271,765.70
  6. Step 6: Final answer
    x = 127,165.81

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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.