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Finding the Fourth Proportional to 503,878.75, 755,813.43 and 204,288.12

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Solution

The fourth proportional to 503,878.75, 755,813.43 and 204,288.12 is: 306,430.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,878.75 : 755,813.43 = 204,288.12 : x
  2. Step 2: Convert to fraction form
    503,878.75/755,813.43 = 204,288.12/x
  3. Step 3: Cross multiply
    503,878.75x = 755,813.43 × 204,288.12
  4. Step 4: Simplify right side
    503,878.75x = 154,403,704,685.45
  5. Step 5: Solve for x
    x = 154,403,704,685.45/503,878.75
  6. Step 6: Final answer
    x = 306,430.28

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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.