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Finding the Fourth Proportional to 543,866.40, 814,924.80 and 343,828.80

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Solution

The fourth proportional to 543,866.40, 814,924.80 and 343,828.80 is: 515,190.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,866.40 : 814,924.80 = 343,828.80 : x
  2. Step 2: Convert to fraction form
    543,866.40/814,924.80 = 343,828.80/x
  3. Step 3: Cross multiply
    543,866.40x = 814,924.80 × 343,828.80
  4. Step 4: Simplify right side
    543,866.40x = 280,194,616,074.24
  5. Step 5: Solve for x
    x = 280,194,616,074.24/543,866.40
  6. Step 6: Final answer
    x = 515,190.16

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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.