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Finding the Fourth Proportional to 475,416.69, 713,355.69 and 209,142.60

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Solution

The fourth proportional to 475,416.69, 713,355.69 and 209,142.60 is: 313,815.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,416.69 : 713,355.69 = 209,142.60 : x
  2. Step 2: Convert to fraction form
    475,416.69/713,355.69 = 209,142.60/x
  3. Step 3: Cross multiply
    475,416.69x = 713,355.69 × 209,142.60
  4. Step 4: Simplify right side
    475,416.69x = 149,193,062,685.68
  5. Step 5: Solve for x
    x = 149,193,062,685.68/475,416.69
  6. Step 6: Final answer
    x = 313,815.37

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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.