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Finding the Fourth Proportional to 271,808.52, 407,795.40 and 84,821.64

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Solution

The fourth proportional to 271,808.52, 407,795.40 and 84,821.64 is: 127,258.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,808.52 : 407,795.40 = 84,821.64 : x
  2. Step 2: Convert to fraction form
    271,808.52/407,795.40 = 84,821.64/x
  3. Step 3: Cross multiply
    271,808.52x = 407,795.40 × 84,821.64
  4. Step 4: Simplify right side
    271,808.52x = 34,589,874,612.46
  5. Step 5: Solve for x
    x = 34,589,874,612.46/271,808.52
  6. Step 6: Final answer
    x = 127,258.24

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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.