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Finding the Fourth Proportional to 300,606.90, 414,837.30 and 164,640.20

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Solution

The fourth proportional to 300,606.90, 414,837.30 and 164,640.20 is: 227,203.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,606.90 : 414,837.30 = 164,640.20 : x
  2. Step 2: Convert to fraction form
    300,606.90/414,837.30 = 164,640.20/x
  3. Step 3: Cross multiply
    300,606.90x = 414,837.30 × 164,640.20
  4. Step 4: Simplify right side
    300,606.90x = 68,298,893,656.57
  5. Step 5: Solve for x
    x = 68,298,893,656.57/300,606.90
  6. Step 6: Final answer
    x = 227,203.35

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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.