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Finding the Fourth Proportional to 405,932.80, 607,732.80 and 363,942.40

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Solution

The fourth proportional to 405,932.80, 607,732.80 and 363,942.40 is: 544,867.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,932.80 : 607,732.80 = 363,942.40 : x
  2. Step 2: Convert to fraction form
    405,932.80/607,732.80 = 363,942.40/x
  3. Step 3: Cross multiply
    405,932.80x = 607,732.80 × 363,942.40
  4. Step 4: Simplify right side
    405,932.80x = 221,179,733,790.72
  5. Step 5: Solve for x
    x = 221,179,733,790.72/405,932.80
  6. Step 6: Final answer
    x = 544,867.85

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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.