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Finding the Fourth Proportional to 302,953.98, 418,057.62 and 166,989

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Solution

The fourth proportional to 302,953.98, 418,057.62 and 166,989 is: 230,434.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,953.98 : 418,057.62 = 166,989 : x
  2. Step 2: Convert to fraction form
    302,953.98/418,057.62 = 166,989/x
  3. Step 3: Cross multiply
    302,953.98x = 418,057.62 × 166,989
  4. Step 4: Simplify right side
    302,953.98x = 69,811,023,906.18
  5. Step 5: Solve for x
    x = 69,811,023,906.18/302,953.98
  6. Step 6: Final answer
    x = 230,434.42

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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.