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Finding the Fourth Proportional to 269,401.66, 403,490.80 and 208,944.82

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Solution

The fourth proportional to 269,401.66, 403,490.80 and 208,944.82 is: 312,942.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,401.66 : 403,490.80 = 208,944.82 : x
  2. Step 2: Convert to fraction form
    269,401.66/403,490.80 = 208,944.82/x
  3. Step 3: Cross multiply
    269,401.66x = 403,490.80 × 208,944.82
  4. Step 4: Simplify right side
    269,401.66x = 84,307,312,577.66
  5. Step 5: Solve for x
    x = 84,307,312,577.66/269,401.66
  6. Step 6: Final answer
    x = 312,942.81

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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.