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Finding the Fourth Proportional to 380,811.82, 525,498.92 and 208,696.98

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Solution

The fourth proportional to 380,811.82, 525,498.92 and 208,696.98 is: 287,990.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,811.82 : 525,498.92 = 208,696.98 : x
  2. Step 2: Convert to fraction form
    380,811.82/525,498.92 = 208,696.98/x
  3. Step 3: Cross multiply
    380,811.82x = 525,498.92 × 208,696.98
  4. Step 4: Simplify right side
    380,811.82x = 109,670,037,597.26
  5. Step 5: Solve for x
    x = 109,670,037,597.26/380,811.82
  6. Step 6: Final answer
    x = 287,990.11

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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.