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Finding the Fourth Proportional to 302,700.78, 417,729.96 and 166,735.31

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Solution

The fourth proportional to 302,700.78, 417,729.96 and 166,735.31 is: 230,096.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,700.78 : 417,729.96 = 166,735.31 : x
  2. Step 2: Convert to fraction form
    302,700.78/417,729.96 = 166,735.31/x
  3. Step 3: Cross multiply
    302,700.78x = 417,729.96 × 166,735.31
  4. Step 4: Simplify right side
    302,700.78x = 69,650,332,288.24
  5. Step 5: Solve for x
    x = 69,650,332,288.24/302,700.78
  6. Step 6: Final answer
    x = 230,096.31

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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.