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Finding the Fourth Proportional to 302,455.63, 417,385.56 and 166,486.65

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Solution

The fourth proportional to 302,455.63, 417,385.56 and 166,486.65 is: 229,749.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,455.63 : 417,385.56 = 166,486.65 : x
  2. Step 2: Convert to fraction form
    302,455.63/417,385.56 = 166,486.65/x
  3. Step 3: Cross multiply
    302,455.63x = 417,385.56 × 166,486.65
  4. Step 4: Simplify right side
    302,455.63x = 69,489,123,642.77
  5. Step 5: Solve for x
    x = 69,489,123,642.77/302,455.63
  6. Step 6: Final answer
    x = 229,749.81

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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.