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Finding the Fourth Proportional to 314,676.20, 434,251.86 and 171,435.80

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Solution

The fourth proportional to 314,676.20, 434,251.86 and 171,435.80 is: 236,580.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,676.20 : 434,251.86 = 171,435.80 : x
  2. Step 2: Convert to fraction form
    314,676.20/434,251.86 = 171,435.80/x
  3. Step 3: Cross multiply
    314,676.20x = 434,251.86 × 171,435.80
  4. Step 4: Simplify right side
    314,676.20x = 74,446,315,020.59
  5. Step 5: Solve for x
    x = 74,446,315,020.59/314,676.20
  6. Step 6: Final answer
    x = 236,580.70

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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.