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Finding the Fourth Proportional to 412,732.80, 617,932.80 and 370,742.40

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Solution

The fourth proportional to 412,732.80, 617,932.80 and 370,742.40 is: 555,065.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,732.80 : 617,932.80 = 370,742.40 : x
  2. Step 2: Convert to fraction form
    412,732.80/617,932.80 = 370,742.40/x
  3. Step 3: Cross multiply
    412,732.80x = 617,932.80 × 370,742.40
  4. Step 4: Simplify right side
    412,732.80x = 229,093,889,310.72
  5. Step 5: Solve for x
    x = 229,093,889,310.72/412,732.80
  6. Step 6: Final answer
    x = 555,065.87

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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.