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Finding the Fourth Proportional to 369,081.81, 509,338.26 and 205,733.97

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Solution

The fourth proportional to 369,081.81, 509,338.26 and 205,733.97 is: 283,915.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,081.81 : 509,338.26 = 205,733.97 : x
  2. Step 2: Convert to fraction form
    369,081.81/509,338.26 = 205,733.97/x
  3. Step 3: Cross multiply
    369,081.81x = 509,338.26 × 205,733.97
  4. Step 4: Simplify right side
    369,081.81x = 104,788,182,302.69
  5. Step 5: Solve for x
    x = 104,788,182,302.69/369,081.81
  6. Step 6: Final answer
    x = 283,915.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.