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Finding the Fourth Proportional to 310,504.94, 465,710.58 and 198,964.60

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Solution

The fourth proportional to 310,504.94, 465,710.58 and 198,964.60 is: 298,416.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,504.94 : 465,710.58 = 198,964.60 : x
  2. Step 2: Convert to fraction form
    310,504.94/465,710.58 = 198,964.60/x
  3. Step 3: Cross multiply
    310,504.94x = 465,710.58 × 198,964.60
  4. Step 4: Simplify right side
    310,504.94x = 92,659,919,265.47
  5. Step 5: Solve for x
    x = 92,659,919,265.47/310,504.94
  6. Step 6: Final answer
    x = 298,416.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.