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Finding the Fourth Proportional to 302,905.26, 417,990.50 and 166,931.64

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Solution

The fourth proportional to 302,905.26, 417,990.50 and 166,931.64 is: 230,355.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,905.26 : 417,990.50 = 166,931.64 : x
  2. Step 2: Convert to fraction form
    302,905.26/417,990.50 = 166,931.64/x
  3. Step 3: Cross multiply
    302,905.26x = 417,990.50 × 166,931.64
  4. Step 4: Simplify right side
    302,905.26x = 69,775,839,669.42
  5. Step 5: Solve for x
    x = 69,775,839,669.42/302,905.26
  6. Step 6: Final answer
    x = 230,355.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.