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Finding the Fourth Proportional to 274,143.20, 411,214.80 and 163,551.20

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Solution

The fourth proportional to 274,143.20, 411,214.80 and 163,551.20 is: 245,326.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,143.20 : 411,214.80 = 163,551.20 : x
  2. Step 2: Convert to fraction form
    274,143.20/411,214.80 = 163,551.20/x
  3. Step 3: Cross multiply
    274,143.20x = 411,214.80 × 163,551.20
  4. Step 4: Simplify right side
    274,143.20x = 67,254,673,997.76
  5. Step 5: Solve for x
    x = 67,254,673,997.76/274,143.20
  6. Step 6: Final answer
    x = 245,326.80

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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.