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Finding the Fourth Proportional to 419,717.10, 629,344.80 and 286,747.50

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Solution

The fourth proportional to 419,717.10, 629,344.80 and 286,747.50 is: 429,963.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,717.10 : 629,344.80 = 286,747.50 : x
  2. Step 2: Convert to fraction form
    419,717.10/629,344.80 = 286,747.50/x
  3. Step 3: Cross multiply
    419,717.10x = 629,344.80 × 286,747.50
  4. Step 4: Simplify right side
    419,717.10x = 180,463,048,038
  5. Step 5: Solve for x
    x = 180,463,048,038/419,717.10
  6. Step 6: Final answer
    x = 429,963.54

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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.