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Finding the Fourth Proportional to 271,298.40, 406,947.60 and 177,858.40

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Solution

The fourth proportional to 271,298.40, 406,947.60 and 177,858.40 is: 266,787.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,298.40 : 406,947.60 = 177,858.40 : x
  2. Step 2: Convert to fraction form
    271,298.40/406,947.60 = 177,858.40/x
  3. Step 3: Cross multiply
    271,298.40x = 406,947.60 × 177,858.40
  4. Step 4: Simplify right side
    271,298.40x = 72,379,049,019.84
  5. Step 5: Solve for x
    x = 72,379,049,019.84/271,298.40
  6. Step 6: Final answer
    x = 266,787.60

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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.