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Finding the Fourth Proportional to 225,768.40, 311,419.40 and 145,301.20

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Solution

The fourth proportional to 225,768.40, 311,419.40 and 145,301.20 is: 200,424.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,768.40 : 311,419.40 = 145,301.20 : x
  2. Step 2: Convert to fraction form
    225,768.40/311,419.40 = 145,301.20/x
  3. Step 3: Cross multiply
    225,768.40x = 311,419.40 × 145,301.20
  4. Step 4: Simplify right side
    225,768.40x = 45,249,612,523.28
  5. Step 5: Solve for x
    x = 45,249,612,523.28/225,768.40
  6. Step 6: Final answer
    x = 200,424.92

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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.