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Finding the Fourth Proportional to 821,344, 1,232,507.52 and 354,400

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Solution

The fourth proportional to 821,344, 1,232,507.52 and 354,400 is: 531,812.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,344 : 1,232,507.52 = 354,400 : x
  2. Step 2: Convert to fraction form
    821,344/1,232,507.52 = 354,400/x
  3. Step 3: Cross multiply
    821,344x = 1,232,507.52 × 354,400
  4. Step 4: Simplify right side
    821,344x = 436,800,665,088
  5. Step 5: Solve for x
    x = 436,800,665,088/821,344
  6. Step 6: Final answer
    x = 531,812.08

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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.