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Finding the Fourth Proportional to 310,853.60, 466,280.40 and 100,512.80

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Solution

The fourth proportional to 310,853.60, 466,280.40 and 100,512.80 is: 150,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,853.60 : 466,280.40 = 100,512.80 : x
  2. Step 2: Convert to fraction form
    310,853.60/466,280.40 = 100,512.80/x
  3. Step 3: Cross multiply
    310,853.60x = 466,280.40 × 100,512.80
  4. Step 4: Simplify right side
    310,853.60x = 46,867,148,589.12
  5. Step 5: Solve for x
    x = 46,867,148,589.12/310,853.60
  6. Step 6: Final answer
    x = 150,769.20

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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.