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Finding the Fourth Proportional to 475,445.30, 713,398.64 and 209,171.25

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Solution

The fourth proportional to 475,445.30, 713,398.64 and 209,171.25 is: 313,858.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,445.30 : 713,398.64 = 209,171.25 : x
  2. Step 2: Convert to fraction form
    475,445.30/713,398.64 = 209,171.25/x
  3. Step 3: Cross multiply
    475,445.30x = 713,398.64 × 209,171.25
  4. Step 4: Simplify right side
    475,445.30x = 149,222,484,231.24
  5. Step 5: Solve for x
    x = 149,222,484,231.24/475,445.30
  6. Step 6: Final answer
    x = 313,858.37

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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.