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Finding the Fourth Proportional to 821,345, 1,232,509.02 and 354,401

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Solution

The fourth proportional to 821,345, 1,232,509.02 and 354,401 is: 531,813.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,345 : 1,232,509.02 = 354,401 : x
  2. Step 2: Convert to fraction form
    821,345/1,232,509.02 = 354,401/x
  3. Step 3: Cross multiply
    821,345x = 1,232,509.02 × 354,401
  4. Step 4: Simplify right side
    821,345x = 436,802,429,197.02
  5. Step 5: Solve for x
    x = 436,802,429,197.02/821,345
  6. Step 6: Final answer
    x = 531,813.59

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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.