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Finding the Fourth Proportional to 278,940.40, 418,410.60 and 172,409.20

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Solution

The fourth proportional to 278,940.40, 418,410.60 and 172,409.20 is: 258,613.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,940.40 : 418,410.60 = 172,409.20 : x
  2. Step 2: Convert to fraction form
    278,940.40/418,410.60 = 172,409.20/x
  3. Step 3: Cross multiply
    278,940.40x = 418,410.60 × 172,409.20
  4. Step 4: Simplify right side
    278,940.40x = 72,137,836,817.52
  5. Step 5: Solve for x
    x = 72,137,836,817.52/278,940.40
  6. Step 6: Final answer
    x = 258,613.80

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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.