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Finding the Fourth Proportional to 429,361.40, 647,128.32 and 370,105.09

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Solution

The fourth proportional to 429,361.40, 647,128.32 and 370,105.09 is: 557,817.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,361.40 : 647,128.32 = 370,105.09 : x
  2. Step 2: Convert to fraction form
    429,361.40/647,128.32 = 370,105.09/x
  3. Step 3: Cross multiply
    429,361.40x = 647,128.32 × 370,105.09
  4. Step 4: Simplify right side
    429,361.40x = 239,505,483,264.62
  5. Step 5: Solve for x
    x = 239,505,483,264.62/429,361.40
  6. Step 6: Final answer
    x = 557,817.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.