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Finding the Fourth Proportional to 300,325.50, 414,449.12 and 164,359.51

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Solution

The fourth proportional to 300,325.50, 414,449.12 and 164,359.51 is: 226,816.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,325.50 : 414,449.12 = 164,359.51 : x
  2. Step 2: Convert to fraction form
    300,325.50/414,449.12 = 164,359.51/x
  3. Step 3: Cross multiply
    300,325.50x = 414,449.12 × 164,359.51
  4. Step 4: Simplify right side
    300,325.50x = 68,118,653,657.91
  5. Step 5: Solve for x
    x = 68,118,653,657.91/300,325.50
  6. Step 6: Final answer
    x = 226,816.08

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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.