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Finding the Fourth Proportional to 541,406.40, 812,109.60 and 442,991.40

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Solution

The fourth proportional to 541,406.40, 812,109.60 and 442,991.40 is: 664,487.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,406.40 : 812,109.60 = 442,991.40 : x
  2. Step 2: Convert to fraction form
    541,406.40/812,109.60 = 442,991.40/x
  3. Step 3: Cross multiply
    541,406.40x = 812,109.60 × 442,991.40
  4. Step 4: Simplify right side
    541,406.40x = 359,757,568,657.44
  5. Step 5: Solve for x
    x = 359,757,568,657.44/541,406.40
  6. Step 6: Final answer
    x = 664,487.10

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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.