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Finding the Fourth Proportional to 302,909.82, 418,014.18 and 166,943.48

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Solution

The fourth proportional to 302,909.82, 418,014.18 and 166,943.48 is: 230,381.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,909.82 : 418,014.18 = 166,943.48 : x
  2. Step 2: Convert to fraction form
    302,909.82/418,014.18 = 166,943.48/x
  3. Step 3: Cross multiply
    302,909.82x = 418,014.18 × 166,943.48
  4. Step 4: Simplify right side
    302,909.82x = 69,784,741,898.55
  5. Step 5: Solve for x
    x = 69,784,741,898.55/302,909.82
  6. Step 6: Final answer
    x = 230,381.25

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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.