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Finding the Fourth Proportional to 282,941.80, 425,270.15 and 187,205.54

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Solution

The fourth proportional to 282,941.80, 425,270.15 and 187,205.54 is: 281,375.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,941.80 : 425,270.15 = 187,205.54 : x
  2. Step 2: Convert to fraction form
    282,941.80/425,270.15 = 187,205.54/x
  3. Step 3: Cross multiply
    282,941.80x = 425,270.15 × 187,205.54
  4. Step 4: Simplify right side
    282,941.80x = 79,612,927,140.60
  5. Step 5: Solve for x
    x = 79,612,927,140.60/282,941.80
  6. Step 6: Final answer
    x = 281,375.63

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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.