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Finding the Fourth Proportional to 300,355.20, 414,467.28 and 164,358.72

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Solution

The fourth proportional to 300,355.20, 414,467.28 and 164,358.72 is: 226,802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,355.20 : 414,467.28 = 164,358.72 : x
  2. Step 2: Convert to fraction form
    300,355.20/414,467.28 = 164,358.72/x
  3. Step 3: Cross multiply
    300,355.20x = 414,467.28 × 164,358.72
  4. Step 4: Simplify right side
    300,355.20x = 68,121,311,622.68
  5. Step 5: Solve for x
    x = 68,121,311,622.68/300,355.20
  6. Step 6: Final answer
    x = 226,802.50

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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.