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Finding the Fourth Proportional to 422,448.90, 633,465.99 and 208,970.16

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Solution

The fourth proportional to 422,448.90, 633,465.99 and 208,970.16 is: 313,352.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,448.90 : 633,465.99 = 208,970.16 : x
  2. Step 2: Convert to fraction form
    422,448.90/633,465.99 = 208,970.16/x
  3. Step 3: Cross multiply
    422,448.90x = 633,465.99 × 208,970.16
  4. Step 4: Simplify right side
    422,448.90x = 132,375,489,284.86
  5. Step 5: Solve for x
    x = 132,375,489,284.86/422,448.90
  6. Step 6: Final answer
    x = 313,352.67

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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.