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Finding the Fourth Proportional to 310,488, 428,473.44 and 169,176

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Solution

The fourth proportional to 310,488, 428,473.44 and 169,176 is: 233,462.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,488 : 428,473.44 = 169,176 : x
  2. Step 2: Convert to fraction form
    310,488/428,473.44 = 169,176/x
  3. Step 3: Cross multiply
    310,488x = 428,473.44 × 169,176
  4. Step 4: Simplify right side
    310,488x = 72,487,422,685.44
  5. Step 5: Solve for x
    x = 72,487,422,685.44/310,488
  6. Step 6: Final answer
    x = 233,462.88

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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.