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Finding the Fourth Proportional to 378,290.56, 521,999.76 and 208,492

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Solution

The fourth proportional to 378,290.56, 521,999.76 and 208,492 is: 287,696.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,290.56 : 521,999.76 = 208,492 : x
  2. Step 2: Convert to fraction form
    378,290.56/521,999.76 = 208,492/x
  3. Step 3: Cross multiply
    378,290.56x = 521,999.76 × 208,492
  4. Step 4: Simplify right side
    378,290.56x = 108,832,773,961.92
  5. Step 5: Solve for x
    x = 108,832,773,961.92/378,290.56
  6. Step 6: Final answer
    x = 287,696.25

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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.