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Finding the Fourth Proportional to 200,456, 300,701.76 and 52,712

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Solution

The fourth proportional to 200,456, 300,701.76 and 52,712 is: 79,072.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,456 : 300,701.76 = 52,712 : x
  2. Step 2: Convert to fraction form
    200,456/300,701.76 = 52,712/x
  3. Step 3: Cross multiply
    200,456x = 300,701.76 × 52,712
  4. Step 4: Simplify right side
    200,456x = 15,850,591,173.12
  5. Step 5: Solve for x
    x = 15,850,591,173.12/200,456
  6. Step 6: Final answer
    x = 79,072.67

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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.