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Finding the Fourth Proportional to 265,353.71, 397,698.32 and 208,971.17

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Solution

The fourth proportional to 265,353.71, 397,698.32 and 208,971.17 is: 313,195.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,353.71 : 397,698.32 = 208,971.17 : x
  2. Step 2: Convert to fraction form
    265,353.71/397,698.32 = 208,971.17/x
  3. Step 3: Cross multiply
    265,353.71x = 397,698.32 × 208,971.17
  4. Step 4: Simplify right side
    265,353.71x = 83,107,481,771.37
  5. Step 5: Solve for x
    x = 83,107,481,771.37/265,353.71
  6. Step 6: Final answer
    x = 313,195.10

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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.