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Finding the Fourth Proportional to 298,274.60, 411,623.88 and 162,314.28

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Solution

The fourth proportional to 298,274.60, 411,623.88 and 162,314.28 is: 223,996.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,274.60 : 411,623.88 = 162,314.28 : x
  2. Step 2: Convert to fraction form
    298,274.60/411,623.88 = 162,314.28/x
  3. Step 3: Cross multiply
    298,274.60x = 411,623.88 × 162,314.28
  4. Step 4: Simplify right side
    298,274.60x = 66,812,433,713.01
  5. Step 5: Solve for x
    x = 66,812,433,713.01/298,274.60
  6. Step 6: Final answer
    x = 223,996.39

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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.