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Finding the Fourth Proportional to 300,120.30, 414,201.75 and 172,820.70

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Solution

The fourth proportional to 300,120.30, 414,201.75 and 172,820.70 is: 238,513.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,120.30 : 414,201.75 = 172,820.70 : x
  2. Step 2: Convert to fraction form
    300,120.30/414,201.75 = 172,820.70/x
  3. Step 3: Cross multiply
    300,120.30x = 414,201.75 × 172,820.70
  4. Step 4: Simplify right side
    300,120.30x = 71,582,636,376.23
  5. Step 5: Solve for x
    x = 71,582,636,376.23/300,120.30
  6. Step 6: Final answer
    x = 238,513.14

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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.