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Finding the Fourth Proportional to 302,958.80, 418,064.09 and 166,985.25

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Solution

The fourth proportional to 302,958.80, 418,064.09 and 166,985.25 is: 230,429.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,958.80 : 418,064.09 = 166,985.25 : x
  2. Step 2: Convert to fraction form
    302,958.80/418,064.09 = 166,985.25/x
  3. Step 3: Cross multiply
    302,958.80x = 418,064.09 × 166,985.25
  4. Step 4: Simplify right side
    302,958.80x = 69,810,534,182.01
  5. Step 5: Solve for x
    x = 69,810,534,182.01/302,958.80
  6. Step 6: Final answer
    x = 230,429.14

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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.