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Finding the Fourth Proportional to 201,378.40, 301,808.40 and 154,398.40

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Solution

The fourth proportional to 201,378.40, 301,808.40 and 154,398.40 is: 231,398.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,378.40 : 301,808.40 = 154,398.40 : x
  2. Step 2: Convert to fraction form
    201,378.40/301,808.40 = 154,398.40/x
  3. Step 3: Cross multiply
    201,378.40x = 301,808.40 × 154,398.40
  4. Step 4: Simplify right side
    201,378.40x = 46,598,734,066.56
  5. Step 5: Solve for x
    x = 46,598,734,066.56/201,378.40
  6. Step 6: Final answer
    x = 231,398.87

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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.