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Finding the Fourth Proportional to 274,468.40, 411,702.60 and 185,764.40

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Solution

The fourth proportional to 274,468.40, 411,702.60 and 185,764.40 is: 278,646.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,468.40 : 411,702.60 = 185,764.40 : x
  2. Step 2: Convert to fraction form
    274,468.40/411,702.60 = 185,764.40/x
  3. Step 3: Cross multiply
    274,468.40x = 411,702.60 × 185,764.40
  4. Step 4: Simplify right side
    274,468.40x = 76,479,686,467.44
  5. Step 5: Solve for x
    x = 76,479,686,467.44/274,468.40
  6. Step 6: Final answer
    x = 278,646.60

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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.