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Finding the Fourth Proportional to 300,171.88, 414,256.44 and 172,844.74

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Solution

The fourth proportional to 300,171.88, 414,256.44 and 172,844.74 is: 238,536.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,171.88 : 414,256.44 = 172,844.74 : x
  2. Step 2: Convert to fraction form
    300,171.88/414,256.44 = 172,844.74/x
  3. Step 3: Cross multiply
    300,171.88x = 414,256.44 × 172,844.74
  4. Step 4: Simplify right side
    300,171.88x = 71,602,046,665.13
  5. Step 5: Solve for x
    x = 71,602,046,665.13/300,171.88
  6. Step 6: Final answer
    x = 238,536.82

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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.