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Finding the Fourth Proportional to 687,741.98, 949,065.44 and 412,255.44

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Solution

The fourth proportional to 687,741.98, 949,065.44 and 412,255.44 is: 568,901.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,741.98 : 949,065.44 = 412,255.44 : x
  2. Step 2: Convert to fraction form
    687,741.98/949,065.44 = 412,255.44/x
  3. Step 3: Cross multiply
    687,741.98x = 949,065.44 × 412,255.44
  4. Step 4: Simplify right side
    687,741.98x = 391,257,388,494.72
  5. Step 5: Solve for x
    x = 391,257,388,494.72/687,741.98
  6. Step 6: Final answer
    x = 568,901.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.