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Finding the Fourth Proportional to 271,938.40, 407,907.60 and 172,211.20

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Solution

The fourth proportional to 271,938.40, 407,907.60 and 172,211.20 is: 258,316.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,938.40 : 407,907.60 = 172,211.20 : x
  2. Step 2: Convert to fraction form
    271,938.40/407,907.60 = 172,211.20/x
  3. Step 3: Cross multiply
    271,938.40x = 407,907.60 × 172,211.20
  4. Step 4: Simplify right side
    271,938.40x = 70,246,257,285.12
  5. Step 5: Solve for x
    x = 70,246,257,285.12/271,938.40
  6. Step 6: Final answer
    x = 258,316.80

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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.