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Finding the Fourth Proportional to 397,941, 549,625.14 and 263,571.72

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Solution

The fourth proportional to 397,941, 549,625.14 and 263,571.72 is: 364,037.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,941 : 549,625.14 = 263,571.72 : x
  2. Step 2: Convert to fraction form
    397,941/549,625.14 = 263,571.72/x
  3. Step 3: Cross multiply
    397,941x = 549,625.14 × 263,571.72
  4. Step 4: Simplify right side
    397,941x = 144,865,643,505.04
  5. Step 5: Solve for x
    x = 144,865,643,505.04/397,941
  6. Step 6: Final answer
    x = 364,037.99

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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.