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Finding the Fourth Proportional to 503,616, 755,424.48 and 208,135.68

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Solution

The fourth proportional to 503,616, 755,424.48 and 208,135.68 is: 312,203.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,616 : 755,424.48 = 208,135.68 : x
  2. Step 2: Convert to fraction form
    503,616/755,424.48 = 208,135.68/x
  3. Step 3: Cross multiply
    503,616x = 755,424.48 × 208,135.68
  4. Step 4: Simplify right side
    503,616x = 157,230,787,833.45
  5. Step 5: Solve for x
    x = 157,230,787,833.45/503,616
  6. Step 6: Final answer
    x = 312,203.72

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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.