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Finding the Fourth Proportional to 314,817.57, 434,435.59 and 171,574.54

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Solution

The fourth proportional to 314,817.57, 434,435.59 and 171,574.54 is: 236,765.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,817.57 : 434,435.59 = 171,574.54 : x
  2. Step 2: Convert to fraction form
    314,817.57/434,435.59 = 171,574.54/x
  3. Step 3: Cross multiply
    314,817.57x = 434,435.59 × 171,574.54
  4. Step 4: Simplify right side
    314,817.57x = 74,538,086,513.88
  5. Step 5: Solve for x
    x = 74,538,086,513.88/314,817.57
  6. Step 6: Final answer
    x = 236,765.97

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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.