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Finding the Fourth Proportional to 543,382.95, 815,448.12 and 188,396.98

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Solution

The fourth proportional to 543,382.95, 815,448.12 and 188,396.98 is: 282,725.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,382.95 : 815,448.12 = 188,396.98 : x
  2. Step 2: Convert to fraction form
    543,382.95/815,448.12 = 188,396.98/x
  3. Step 3: Cross multiply
    543,382.95x = 815,448.12 × 188,396.98
  4. Step 4: Simplify right side
    543,382.95x = 153,627,961,116.06
  5. Step 5: Solve for x
    x = 153,627,961,116.06/543,382.95
  6. Step 6: Final answer
    x = 282,725.03

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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.