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Finding the Fourth Proportional to 286,603.82, 395,096.46 and 200,294.90

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Solution

The fourth proportional to 286,603.82, 395,096.46 and 200,294.90 is: 276,115.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,603.82 : 395,096.46 = 200,294.90 : x
  2. Step 2: Convert to fraction form
    286,603.82/395,096.46 = 200,294.90/x
  3. Step 3: Cross multiply
    286,603.82x = 395,096.46 × 200,294.90
  4. Step 4: Simplify right side
    286,603.82x = 79,135,805,946.05
  5. Step 5: Solve for x
    x = 79,135,805,946.05/286,603.82
  6. Step 6: Final answer
    x = 276,115.67

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1.5x scale

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.