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Finding the Fourth Proportional to 310,503.94, 465,709.08 and 198,963.60

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Solution

The fourth proportional to 310,503.94, 465,709.08 and 198,963.60 is: 298,415.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,503.94 : 465,709.08 = 198,963.60 : x
  2. Step 2: Convert to fraction form
    310,503.94/465,709.08 = 198,963.60/x
  3. Step 3: Cross multiply
    310,503.94x = 465,709.08 × 198,963.60
  4. Step 4: Simplify right side
    310,503.94x = 92,659,155,109.49
  5. Step 5: Solve for x
    x = 92,659,155,109.49/310,503.94
  6. Step 6: Final answer
    x = 298,415.39

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1.5x scale

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.