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Finding the Fourth Proportional to 314,534.52, 434,043.72 and 171,285.96

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Solution

The fourth proportional to 314,534.52, 434,043.72 and 171,285.96 is: 236,367.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,534.52 : 434,043.72 = 171,285.96 : x
  2. Step 2: Convert to fraction form
    314,534.52/434,043.72 = 171,285.96/x
  3. Step 3: Cross multiply
    314,534.52x = 434,043.72 × 171,285.96
  4. Step 4: Simplify right side
    314,534.52x = 74,345,595,262.17
  5. Step 5: Solve for x
    x = 74,345,595,262.17/314,534.52
  6. Step 6: Final answer
    x = 236,367.05

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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.