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Finding the Fourth Proportional to 302,714.82, 417,749.40 and 166,749.39

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Solution

The fourth proportional to 302,714.82, 417,749.40 and 166,749.39 is: 230,115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,714.82 : 417,749.40 = 166,749.39 : x
  2. Step 2: Convert to fraction form
    302,714.82/417,749.40 = 166,749.39/x
  3. Step 3: Cross multiply
    302,714.82x = 417,749.40 × 166,749.39
  4. Step 4: Simplify right side
    302,714.82x = 69,659,457,622.87
  5. Step 5: Solve for x
    x = 69,659,457,622.87/302,714.82
  6. Step 6: Final answer
    x = 230,115.78

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1.5x scale

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.