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Finding the Fourth Proportional to 307,956, 424,980.56 and 166,644

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Solution

The fourth proportional to 307,956, 424,980.56 and 166,644 is: 229,969.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,956 : 424,980.56 = 166,644 : x
  2. Step 2: Convert to fraction form
    307,956/424,980.56 = 166,644/x
  3. Step 3: Cross multiply
    307,956x = 424,980.56 × 166,644
  4. Step 4: Simplify right side
    307,956x = 70,820,460,440.64
  5. Step 5: Solve for x
    x = 70,820,460,440.64/307,956
  6. Step 6: Final answer
    x = 229,969.41

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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.