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Finding the Fourth Proportional to 302,902.88, 418,008.87 and 166,941.81

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Solution

The fourth proportional to 302,902.88, 418,008.87 and 166,941.81 is: 230,381.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,902.88 : 418,008.87 = 166,941.81 : x
  2. Step 2: Convert to fraction form
    302,902.88/418,008.87 = 166,941.81/x
  3. Step 3: Cross multiply
    302,902.88x = 418,008.87 × 166,941.81
  4. Step 4: Simplify right side
    302,902.88x = 69,783,157,353.85
  5. Step 5: Solve for x
    x = 69,783,157,353.85/302,902.88
  6. Step 6: Final answer
    x = 230,381.30

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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.