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Finding the Fourth Proportional to 420,498.94, 580,363.77 and 250,744

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Solution

The fourth proportional to 420,498.94, 580,363.77 and 250,744 is: 346,071.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,498.94 : 580,363.77 = 250,744 : x
  2. Step 2: Convert to fraction form
    420,498.94/580,363.77 = 250,744/x
  3. Step 3: Cross multiply
    420,498.94x = 580,363.77 × 250,744
  4. Step 4: Simplify right side
    420,498.94x = 145,522,733,144.88
  5. Step 5: Solve for x
    x = 145,522,733,144.88/420,498.94
  6. Step 6: Final answer
    x = 346,071.58

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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.