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Finding the Fourth Proportional to 410,723.22, 615,226.23 and 330,326.67

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Solution

The fourth proportional to 410,723.22, 615,226.23 and 330,326.67 is: 494,799.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,723.22 : 615,226.23 = 330,326.67 : x
  2. Step 2: Convert to fraction form
    410,723.22/615,226.23 = 330,326.67/x
  3. Step 3: Cross multiply
    410,723.22x = 615,226.23 × 330,326.67
  4. Step 4: Simplify right side
    410,723.22x = 203,225,631,852.55
  5. Step 5: Solve for x
    x = 203,225,631,852.55/410,723.22
  6. Step 6: Final answer
    x = 494,799.47

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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.