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Finding the Fourth Proportional to 299,304.88, 413,111.43 and 172,054.30

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Solution

The fourth proportional to 299,304.88, 413,111.43 and 172,054.30 is: 237,475.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,304.88 : 413,111.43 = 172,054.30 : x
  2. Step 2: Convert to fraction form
    299,304.88/413,111.43 = 172,054.30/x
  3. Step 3: Cross multiply
    299,304.88x = 413,111.43 × 172,054.30
  4. Step 4: Simplify right side
    299,304.88x = 71,077,597,910.65
  5. Step 5: Solve for x
    x = 71,077,597,910.65/299,304.88
  6. Step 6: Final answer
    x = 237,475.57

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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.