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Finding the Fourth Proportional to 430,604.92, 645,907.74 and 205,912.36

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Solution

The fourth proportional to 430,604.92, 645,907.74 and 205,912.36 is: 308,868.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,604.92 : 645,907.74 = 205,912.36 : x
  2. Step 2: Convert to fraction form
    430,604.92/645,907.74 = 205,912.36/x
  3. Step 3: Cross multiply
    430,604.92x = 645,907.74 × 205,912.36
  4. Step 4: Simplify right side
    430,604.92x = 133,000,387,085.67
  5. Step 5: Solve for x
    x = 133,000,387,085.67/430,604.92
  6. Step 6: Final answer
    x = 308,868.71

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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.