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Finding the Fourth Proportional to 314,996.94, 434,686.26 and 171,759.78

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Solution

The fourth proportional to 314,996.94, 434,686.26 and 171,759.78 is: 237,023.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,996.94 : 434,686.26 = 171,759.78 : x
  2. Step 2: Convert to fraction form
    314,996.94/434,686.26 = 171,759.78/x
  3. Step 3: Cross multiply
    314,996.94x = 434,686.26 × 171,759.78
  4. Step 4: Simplify right side
    314,996.94x = 74,661,616,386.62
  5. Step 5: Solve for x
    x = 74,661,616,386.62/314,996.94
  6. Step 6: Final answer
    x = 237,023.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.