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Finding the Fourth Proportional to 300,508.64, 414,689.10 and 164,540.12

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Solution

The fourth proportional to 300,508.64, 414,689.10 and 164,540.12 is: 227,058.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,508.64 : 414,689.10 = 164,540.12 : x
  2. Step 2: Convert to fraction form
    300,508.64/414,689.10 = 164,540.12/x
  3. Step 3: Cross multiply
    300,508.64x = 414,689.10 × 164,540.12
  4. Step 4: Simplify right side
    300,508.64x = 68,232,994,276.69
  5. Step 5: Solve for x
    x = 68,232,994,276.69/300,508.64
  6. Step 6: Final answer
    x = 227,058.34

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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.