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Finding the Fourth Proportional to 640,419.90, 959,593.05 and 403,338.30

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Solution

The fourth proportional to 640,419.90, 959,593.05 and 403,338.30 is: 604,354.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,419.90 : 959,593.05 = 403,338.30 : x
  2. Step 2: Convert to fraction form
    640,419.90/959,593.05 = 403,338.30/x
  3. Step 3: Cross multiply
    640,419.90x = 959,593.05 × 403,338.30
  4. Step 4: Simplify right side
    640,419.90x = 387,040,629,478.82
  5. Step 5: Solve for x
    x = 387,040,629,478.82/640,419.90
  6. Step 6: Final answer
    x = 604,354.47

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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.