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Finding the Fourth Proportional to 420,751.26, 580,678.74 and 250,985.37

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Solution

The fourth proportional to 420,751.26, 580,678.74 and 250,985.37 is: 346,384.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,751.26 : 580,678.74 = 250,985.37 : x
  2. Step 2: Convert to fraction form
    420,751.26/580,678.74 = 250,985.37/x
  3. Step 3: Cross multiply
    420,751.26x = 580,678.74 × 250,985.37
  4. Step 4: Simplify right side
    420,751.26x = 145,741,868,410.03
  5. Step 5: Solve for x
    x = 145,741,868,410.03/420,751.26
  6. Step 6: Final answer
    x = 346,384.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.