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Finding the Fourth Proportional to 310,296.58, 428,199.28 and 172,474.81

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Solution

The fourth proportional to 310,296.58, 428,199.28 and 172,474.81 is: 238,009.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,296.58 : 428,199.28 = 172,474.81 : x
  2. Step 2: Convert to fraction form
    310,296.58/428,199.28 = 172,474.81/x
  3. Step 3: Cross multiply
    310,296.58x = 428,199.28 × 172,474.81
  4. Step 4: Simplify right side
    310,296.58x = 73,853,587,958.45
  5. Step 5: Solve for x
    x = 73,853,587,958.45/310,296.58
  6. Step 6: Final answer
    x = 238,009.68

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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.