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Finding the Fourth Proportional to 419,496.36, 629,001.54 and 286,537.29

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Solution

The fourth proportional to 419,496.36, 629,001.54 and 286,537.29 is: 429,639.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,496.36 : 629,001.54 = 286,537.29 : x
  2. Step 2: Convert to fraction form
    419,496.36/629,001.54 = 286,537.29/x
  3. Step 3: Cross multiply
    419,496.36x = 629,001.54 × 286,537.29
  4. Step 4: Simplify right side
    419,496.36x = 180,232,396,677.43
  5. Step 5: Solve for x
    x = 180,232,396,677.43/419,496.36
  6. Step 6: Final answer
    x = 429,639.95

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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.