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Finding the Fourth Proportional to 493,951.69, 681,684.83 and 302,939.11

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Solution

The fourth proportional to 493,951.69, 681,684.83 and 302,939.11 is: 418,075.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,951.69 : 681,684.83 = 302,939.11 : x
  2. Step 2: Convert to fraction form
    493,951.69/681,684.83 = 302,939.11/x
  3. Step 3: Cross multiply
    493,951.69x = 681,684.83 × 302,939.11
  4. Step 4: Simplify right side
    493,951.69x = 206,508,995,700.70
  5. Step 5: Solve for x
    x = 206,508,995,700.70/493,951.69
  6. Step 6: Final answer
    x = 418,075.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.