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Finding the Fourth Proportional to 302,857.56, 417,914.87 and 178,659.16

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Solution

The fourth proportional to 302,857.56, 417,914.87 and 178,659.16 is: 246,532.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,857.56 : 417,914.87 = 178,659.16 : x
  2. Step 2: Convert to fraction form
    302,857.56/417,914.87 = 178,659.16/x
  3. Step 3: Cross multiply
    302,857.56x = 417,914.87 × 178,659.16
  4. Step 4: Simplify right side
    302,857.56x = 74,664,317,687.63
  5. Step 5: Solve for x
    x = 74,664,317,687.63/302,857.56
  6. Step 6: Final answer
    x = 246,532.78

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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.