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Finding the Fourth Proportional to 298,381.10, 411,776.00 and 162,420

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Solution

The fourth proportional to 298,381.10, 411,776.00 and 162,420 is: 224,145.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,381.10 : 411,776.00 = 162,420 : x
  2. Step 2: Convert to fraction form
    298,381.10/411,776.00 = 162,420/x
  3. Step 3: Cross multiply
    298,381.10x = 411,776.00 × 162,420
  4. Step 4: Simplify right side
    298,381.10x = 66,880,657,107.90
  5. Step 5: Solve for x
    x = 66,880,657,107.90/298,381.10
  6. Step 6: Final answer
    x = 224,145.09

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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.