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Finding the Fourth Proportional to 503,896, 755,947.68 and 208,408

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Solution

The fourth proportional to 503,896, 755,947.68 and 208,408 is: 312,654.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,896 : 755,947.68 = 208,408 : x
  2. Step 2: Convert to fraction form
    503,896/755,947.68 = 208,408/x
  3. Step 3: Cross multiply
    503,896x = 755,947.68 × 208,408
  4. Step 4: Simplify right side
    503,896x = 157,545,544,093.44
  5. Step 5: Solve for x
    x = 157,545,544,093.44/503,896
  6. Step 6: Final answer
    x = 312,654.88

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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.