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Finding the Fourth Proportional to 300,261.72, 414,354.78 and 164,295.12

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Solution

The fourth proportional to 300,261.72, 414,354.78 and 164,295.12 is: 226,723.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,261.72 : 414,354.78 = 164,295.12 : x
  2. Step 2: Convert to fraction form
    300,261.72/414,354.78 = 164,295.12/x
  3. Step 3: Cross multiply
    300,261.72x = 414,354.78 × 164,295.12
  4. Step 4: Simplify right side
    300,261.72x = 68,076,468,302.67
  5. Step 5: Solve for x
    x = 68,076,468,302.67/300,261.72
  6. Step 6: Final answer
    x = 226,723.77

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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.