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Finding the Fourth Proportional to 363,970.20, 545,955.30 and 313,231.80

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Solution

The fourth proportional to 363,970.20, 545,955.30 and 313,231.80 is: 469,847.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,970.20 : 545,955.30 = 313,231.80 : x
  2. Step 2: Convert to fraction form
    363,970.20/545,955.30 = 313,231.80/x
  3. Step 3: Cross multiply
    363,970.20x = 545,955.30 × 313,231.80
  4. Step 4: Simplify right side
    363,970.20x = 171,010,561,338.54
  5. Step 5: Solve for x
    x = 171,010,561,338.54/363,970.20
  6. Step 6: Final answer
    x = 469,847.70

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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.