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Finding the Fourth Proportional to 302,438.75, 417,362.13 and 166,469.76

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Solution

The fourth proportional to 302,438.75, 417,362.13 and 166,469.76 is: 229,726.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,438.75 : 417,362.13 = 166,469.76 : x
  2. Step 2: Convert to fraction form
    302,438.75/417,362.13 = 166,469.76/x
  3. Step 3: Cross multiply
    302,438.75x = 417,362.13 × 166,469.76
  4. Step 4: Simplify right side
    302,438.75x = 69,478,173,614.19
  5. Step 5: Solve for x
    x = 69,478,173,614.19/302,438.75
  6. Step 6: Final answer
    x = 229,726.43

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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.