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Finding the Fourth Proportional to 310,604.20, 465,906.30 and 142,124.20

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Solution

The fourth proportional to 310,604.20, 465,906.30 and 142,124.20 is: 213,186.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,604.20 : 465,906.30 = 142,124.20 : x
  2. Step 2: Convert to fraction form
    310,604.20/465,906.30 = 142,124.20/x
  3. Step 3: Cross multiply
    310,604.20x = 465,906.30 × 142,124.20
  4. Step 4: Simplify right side
    310,604.20x = 66,216,560,162.46
  5. Step 5: Solve for x
    x = 66,216,560,162.46/310,604.20
  6. Step 6: Final answer
    x = 213,186.30

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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.