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Finding the Fourth Proportional to 300,398.58, 414,549.97 and 164,432.79

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Solution

The fourth proportional to 300,398.58, 414,549.97 and 164,432.79 is: 226,917.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,398.58 : 414,549.97 = 164,432.79 : x
  2. Step 2: Convert to fraction form
    300,398.58/414,549.97 = 164,432.79/x
  3. Step 3: Cross multiply
    300,398.58x = 414,549.97 × 164,432.79
  4. Step 4: Simplify right side
    300,398.58x = 68,165,607,750.43
  5. Step 5: Solve for x
    x = 68,165,607,750.43/300,398.58
  6. Step 6: Final answer
    x = 226,917.21

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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.