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Finding the Fourth Proportional to 637,982.28, 957,160.50 and 188,715

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Solution

The fourth proportional to 637,982.28, 957,160.50 and 188,715 is: 283,127.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,982.28 : 957,160.50 = 188,715 : x
  2. Step 2: Convert to fraction form
    637,982.28/957,160.50 = 188,715/x
  3. Step 3: Cross multiply
    637,982.28x = 957,160.50 × 188,715
  4. Step 4: Simplify right side
    637,982.28x = 180,630,543,757.50
  5. Step 5: Solve for x
    x = 180,630,543,757.50/637,982.28
  6. Step 6: Final answer
    x = 283,127.84

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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.