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Finding the Fourth Proportional to 300,378.40, 414,515.90 and 164,409.20

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Solution

The fourth proportional to 300,378.40, 414,515.90 and 164,409.20 is: 226,881.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,378.40 : 414,515.90 = 164,409.20 : x
  2. Step 2: Convert to fraction form
    300,378.40/414,515.90 = 164,409.20/x
  3. Step 3: Cross multiply
    300,378.40x = 414,515.90 × 164,409.20
  4. Step 4: Simplify right side
    300,378.40x = 68,150,227,506.28
  5. Step 5: Solve for x
    x = 68,150,227,506.28/300,378.40
  6. Step 6: Final answer
    x = 226,881.25

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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.