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Finding the Fourth Proportional to 307,425, 424,246.50 and 166,113

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Solution

The fourth proportional to 307,425, 424,246.50 and 166,113 is: 229,235.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,425 : 424,246.50 = 166,113 : x
  2. Step 2: Convert to fraction form
    307,425/424,246.50 = 166,113/x
  3. Step 3: Cross multiply
    307,425x = 424,246.50 × 166,113
  4. Step 4: Simplify right side
    307,425x = 70,472,858,854.50
  5. Step 5: Solve for x
    x = 70,472,858,854.50/307,425
  6. Step 6: Final answer
    x = 229,235.94

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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.