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Finding the Fourth Proportional to 638,038.20, 957,057.12 and 188,724

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Solution

The fourth proportional to 638,038.20, 957,057.12 and 188,724 is: 283,085.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,038.20 : 957,057.12 = 188,724 : x
  2. Step 2: Convert to fraction form
    638,038.20/957,057.12 = 188,724/x
  3. Step 3: Cross multiply
    638,038.20x = 957,057.12 × 188,724
  4. Step 4: Simplify right side
    638,038.20x = 180,619,647,914.88
  5. Step 5: Solve for x
    x = 180,619,647,914.88/638,038.20
  6. Step 6: Final answer
    x = 283,085.95

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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.