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Finding the Fourth Proportional to 310,630.30, 465,945.42 and 100,299.22

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Solution

The fourth proportional to 310,630.30, 465,945.42 and 100,299.22 is: 150,448.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,630.30 : 465,945.42 = 100,299.22 : x
  2. Step 2: Convert to fraction form
    310,630.30/465,945.42 = 100,299.22/x
  3. Step 3: Cross multiply
    310,630.30x = 465,945.42 × 100,299.22
  4. Step 4: Simplify right side
    310,630.30x = 46,733,962,188.57
  5. Step 5: Solve for x
    x = 46,733,962,188.57/310,630.30
  6. Step 6: Final answer
    x = 150,448.82

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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.