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Finding the Fourth Proportional to 275,718.52, 380,394.66 and 180,281.08

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Solution

The fourth proportional to 275,718.52, 380,394.66 and 180,281.08 is: 248,724.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,718.52 : 380,394.66 = 180,281.08 : x
  2. Step 2: Convert to fraction form
    275,718.52/380,394.66 = 180,281.08/x
  3. Step 3: Cross multiply
    275,718.52x = 380,394.66 × 180,281.08
  4. Step 4: Simplify right side
    275,718.52x = 68,577,960,131.03
  5. Step 5: Solve for x
    x = 68,577,960,131.03/275,718.52
  6. Step 6: Final answer
    x = 248,724.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.