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Finding the Fourth Proportional to 314,239.68, 433,659.96 and 171,009

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Solution

The fourth proportional to 314,239.68, 433,659.96 and 171,009 is: 235,997.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,239.68 : 433,659.96 = 171,009 : x
  2. Step 2: Convert to fraction form
    314,239.68/433,659.96 = 171,009/x
  3. Step 3: Cross multiply
    314,239.68x = 433,659.96 × 171,009
  4. Step 4: Simplify right side
    314,239.68x = 74,159,756,099.64
  5. Step 5: Solve for x
    x = 74,159,756,099.64/314,239.68
  6. Step 6: Final answer
    x = 235,997.43

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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.