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Finding the Fourth Proportional to 380,304.87, 524,799.90 and 208,189.55

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Solution

The fourth proportional to 380,304.87, 524,799.90 and 208,189.55 is: 287,290.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,304.87 : 524,799.90 = 208,189.55 : x
  2. Step 2: Convert to fraction form
    380,304.87/524,799.90 = 208,189.55/x
  3. Step 3: Cross multiply
    380,304.87x = 524,799.90 × 208,189.55
  4. Step 4: Simplify right side
    380,304.87x = 109,257,852,397.05
  5. Step 5: Solve for x
    x = 109,257,852,397.05/380,304.87
  6. Step 6: Final answer
    x = 287,290.17

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