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Finding the Fourth Proportional to 298,276.43, 411,625.80 and 162,314.28

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Solution

The fourth proportional to 298,276.43, 411,625.80 and 162,314.28 is: 223,996.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,276.43 : 411,625.80 = 162,314.28 : x
  2. Step 2: Convert to fraction form
    298,276.43/411,625.80 = 162,314.28/x
  3. Step 3: Cross multiply
    298,276.43x = 411,625.80 × 162,314.28
  4. Step 4: Simplify right side
    298,276.43x = 66,812,745,356.42
  5. Step 5: Solve for x
    x = 66,812,745,356.42/298,276.43
  6. Step 6: Final answer
    x = 223,996.06

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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.