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Finding the Fourth Proportional to 541,421.60, 809,828.40 and 485,664.80

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Solution

The fourth proportional to 541,421.60, 809,828.40 and 485,664.80 is: 726,430.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,421.60 : 809,828.40 = 485,664.80 : x
  2. Step 2: Convert to fraction form
    541,421.60/809,828.40 = 485,664.80/x
  3. Step 3: Cross multiply
    541,421.60x = 809,828.40 × 485,664.80
  4. Step 4: Simplify right side
    541,421.60x = 393,305,147,920.32
  5. Step 5: Solve for x
    x = 393,305,147,920.32/541,421.60
  6. Step 6: Final answer
    x = 726,430.47

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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.