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Finding the Fourth Proportional to 315,396.25, 435,247.23 and 202,219

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Solution

The fourth proportional to 315,396.25, 435,247.23 and 202,219 is: 279,062.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,396.25 : 435,247.23 = 202,219 : x
  2. Step 2: Convert to fraction form
    315,396.25/435,247.23 = 202,219/x
  3. Step 3: Cross multiply
    315,396.25x = 435,247.23 × 202,219
  4. Step 4: Simplify right side
    315,396.25x = 88,015,259,603.37
  5. Step 5: Solve for x
    x = 88,015,259,603.37/315,396.25
  6. Step 6: Final answer
    x = 279,062.48

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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.