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Finding the Fourth Proportional to 549,395.25, 827,836.49 and 451,743

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Solution

The fourth proportional to 549,395.25, 827,836.49 and 451,743 is: 680,692.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,395.25 : 827,836.49 = 451,743 : x
  2. Step 2: Convert to fraction form
    549,395.25/827,836.49 = 451,743/x
  3. Step 3: Cross multiply
    549,395.25x = 827,836.49 × 451,743
  4. Step 4: Simplify right side
    549,395.25x = 373,969,337,243.36
  5. Step 5: Solve for x
    x = 373,969,337,243.36/549,395.25
  6. Step 6: Final answer
    x = 680,692.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.