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Finding the Fourth Proportional to 443,410.64, 611,725.44 and 327,402.16

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Solution

The fourth proportional to 443,410.64, 611,725.44 and 327,402.16 is: 451,681.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,410.64 : 611,725.44 = 327,402.16 : x
  2. Step 2: Convert to fraction form
    443,410.64/611,725.44 = 327,402.16/x
  3. Step 3: Cross multiply
    443,410.64x = 611,725.44 × 327,402.16
  4. Step 4: Simplify right side
    443,410.64x = 200,280,230,382.95
  5. Step 5: Solve for x
    x = 200,280,230,382.95/443,410.64
  6. Step 6: Final answer
    x = 451,681.16

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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.