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Finding the Fourth Proportional to 269,403.66, 403,493.80 and 208,946.82

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Solution

The fourth proportional to 269,403.66, 403,493.80 and 208,946.82 is: 312,945.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,403.66 : 403,493.80 = 208,946.82 : x
  2. Step 2: Convert to fraction form
    269,403.66/403,493.80 = 208,946.82/x
  3. Step 3: Cross multiply
    269,403.66x = 403,493.80 × 208,946.82
  4. Step 4: Simplify right side
    269,403.66x = 84,308,746,399.72
  5. Step 5: Solve for x
    x = 84,308,746,399.72/269,403.66
  6. Step 6: Final answer
    x = 312,945.81

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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.