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Finding the Fourth Proportional to 274,541.55, 411,275.91 and 189,137.30

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Solution

The fourth proportional to 274,541.55, 411,275.91 and 189,137.30 is: 283,336.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,541.55 : 411,275.91 = 189,137.30 : x
  2. Step 2: Convert to fraction form
    274,541.55/411,275.91 = 189,137.30/x
  3. Step 3: Cross multiply
    274,541.55x = 411,275.91 × 189,137.30
  4. Step 4: Simplify right side
    274,541.55x = 77,787,615,699.62
  5. Step 5: Solve for x
    x = 77,787,615,699.62/274,541.55
  6. Step 6: Final answer
    x = 283,336.40

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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.