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Finding the Fourth Proportional to 253,506.25, 380,633.19 and 141,405.49

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Solution

The fourth proportional to 253,506.25, 380,633.19 and 141,405.49 is: 212,316.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,506.25 : 380,633.19 = 141,405.49 : x
  2. Step 2: Convert to fraction form
    253,506.25/380,633.19 = 141,405.49/x
  3. Step 3: Cross multiply
    253,506.25x = 380,633.19 × 141,405.49
  4. Step 4: Simplify right side
    253,506.25x = 53,823,622,742.21
  5. Step 5: Solve for x
    x = 53,823,622,742.21/253,506.25
  6. Step 6: Final answer
    x = 212,316.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.