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Finding the Fourth Proportional to 500,205.06, 690,348.72 and 285,295.86

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Solution

The fourth proportional to 500,205.06, 690,348.72 and 285,295.86 is: 393,745.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,205.06 : 690,348.72 = 285,295.86 : x
  2. Step 2: Convert to fraction form
    500,205.06/690,348.72 = 285,295.86/x
  3. Step 3: Cross multiply
    500,205.06x = 690,348.72 × 285,295.86
  4. Step 4: Simplify right side
    500,205.06x = 196,953,631,772.30
  5. Step 5: Solve for x
    x = 196,953,631,772.30/500,205.06
  6. Step 6: Final answer
    x = 393,745.78

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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.