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Finding the Fourth Proportional to 300,280.46, 414,383.42 and 164,312.90

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Solution

The fourth proportional to 300,280.46, 414,383.42 and 164,312.90 is: 226,749.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,280.46 : 414,383.42 = 164,312.90 : x
  2. Step 2: Convert to fraction form
    300,280.46/414,383.42 = 164,312.90/x
  3. Step 3: Cross multiply
    300,280.46x = 414,383.42 × 164,312.90
  4. Step 4: Simplify right side
    300,280.46x = 68,088,541,452.12
  5. Step 5: Solve for x
    x = 68,088,541,452.12/300,280.46
  6. Step 6: Final answer
    x = 226,749.82

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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.