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Finding the Fourth Proportional to 540,563.60, 809,627.52 and 419,658.06

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Solution

The fourth proportional to 540,563.60, 809,627.52 and 419,658.06 is: 628,541.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,563.60 : 809,627.52 = 419,658.06 : x
  2. Step 2: Convert to fraction form
    540,563.60/809,627.52 = 419,658.06/x
  3. Step 3: Cross multiply
    540,563.60x = 809,627.52 × 419,658.06
  4. Step 4: Simplify right side
    540,563.60x = 339,766,714,365.81
  5. Step 5: Solve for x
    x = 339,766,714,365.81/540,563.60
  6. Step 6: Final answer
    x = 628,541.61

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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.