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Finding the Fourth Proportional to 512,453.58, 707,131.98 and 297,551.58

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Solution

The fourth proportional to 512,453.58, 707,131.98 and 297,551.58 is: 410,589.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,453.58 : 707,131.98 = 297,551.58 : x
  2. Step 2: Convert to fraction form
    512,453.58/707,131.98 = 297,551.58/x
  3. Step 3: Cross multiply
    512,453.58x = 707,131.98 × 297,551.58
  4. Step 4: Simplify right side
    512,453.58x = 210,408,237,917.53
  5. Step 5: Solve for x
    x = 210,408,237,917.53/512,453.58
  6. Step 6: Final answer
    x = 410,589.85

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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.