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Finding the Fourth Proportional to 310,540.70, 428,871.48 and 213,995.58

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Solution

The fourth proportional to 310,540.70, 428,871.48 and 213,995.58 is: 295,538.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,540.70 : 428,871.48 = 213,995.58 : x
  2. Step 2: Convert to fraction form
    310,540.70/428,871.48 = 213,995.58/x
  3. Step 3: Cross multiply
    310,540.70x = 428,871.48 × 213,995.58
  4. Step 4: Simplify right side
    310,540.70x = 91,776,601,108.06
  5. Step 5: Solve for x
    x = 91,776,601,108.06/310,540.70
  6. Step 6: Final answer
    x = 295,538.08

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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.